World Scientific Connecting Great Minds
2019 MATHEMATICS
Highlights page
6
Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)
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14
Niels Jacob & Kristian P Evans (Swansea University, UK)
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24
Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore), Leon A Takhtajan (Stony Brook University, USA & Euler International Mathematical Institute, Russia) page
32
Niall Adams & Edward Cohen (Imperial College London, UK)
10
page
Yuefan Deng (Stony Brook University, USA)
page
20
Yongmiao Hong (Cornell University, USA)
page
24
Matilde Marcolli (California Institute of Technology, USA & Perimeter Institute for Theoretical Physics & University of Toronto, Canada)
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34
Ilan Garibi, David Goodman & Yossi Elran
Mathematics 2019 page
11
Julien Clinton Sprott (University of Wisconsin-Madison, USA)
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21
Edward L Keenan (University of California, Los Angeles, USA)
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28
Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology, Israel)
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35
Greg N Frederickson (Purdue University, USA)
page
12
Jytte Brender McNair (Aalborg University, Denmark), Lynnclaire Dennis (The Mereon Legacy CIC, UK) & Louis H Kauffman (University of Illinois at Chicago, USA)
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23
Michela Petrini (University Pierre and Marie Curie, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy), Alberto Zaffaroni (University of MilanoBicocca, Italy) page
31
Ingram Olkin (Stanford), Leon J Gleser (University of Pittsburgh, USA) & Cyrus Derman (Columbia University, USA)
page
38
Boyan Sirakov (Pontifical Catholic University of Rio de Janeiro, Brazil), Paulo Ney de Souza (UC Berkeley), MarceloViana (IMPA, Rio de Janeiro, Brazil)
contents
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ALGEBRA & RELATED TOPICS ...........................4 COMPUTER MATHEMATICS & SCIENCE.............7 DIFFERENTIAL & INTEGRAL EQUATIONS...........8 GEOMETRY & TOPOLOGY.................................11 MATHEMATICAL ANALYSIS................................14 MATHEMATICAL BIOLOGY................................17 MATHEMATICAL COMPUTATION & MODELING......................................................18 MATHEMATICAL FINANCE & ECONOMICS....................................................20 MATHEMATICAL LOGIC & FOUNDATIONS................................................21 MATHEMATICAL PHYSICS
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MATHEMATICS EDUCATION..............................27 NUMERICAL ANALYSIS & APPROXIMATION............................................30 OPTIMIZATION & CONTROL ..............................30 PROBABILITY & STATISTICS ..............................31 POPULAR & RECREATIONAL MATHEMATICS....34 PROCEEDINGS ....................................................37 JOURNALS ..........................................................39
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Mathematics 2019
ALGEBRA & RELATED TOPICS Linear Algebra and its Applications
by Tzuong-Tsieng Moh (Purdue University, USA) From Tzuong-Tsieng Moh, a long-time expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh touches on the many facets surrounding linear algebra, including but not limited to, echelon forms, matrix algebra, linear transformations, determinants, dual space, inner products, the Gram–Schmidt Theorem, Hilbert space, and more. It is ideal for both newcomers and seasoned readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications.
Normal Forms, Combinatorial and Decision Problems in Algebra by Leonid Bokut (Sobolev Institute of Mathematics, Russia), Yuqun Chen (South China Normal University, China), Kyriakos Kalorkoti (Informatics Forum, Scotland) & Pavel Kolesnikov (Sobolev Institute of Mathematics, Russia) Key Features: • First book that describes Gröbner – Shirshov bases method for Lie algebra in full details • First book that covers all main results for classical decision problems for groups using Gröbner – Shirshov bases method and the modular machines
Readership: Graduate students and researchers interested in the basic and advanced topics of linear algebra and its applications.
• First book that covers connections of Gröbner – Shirshov bases method with homological algebra
274pp 978-981-3235-42-7
Readership: Researchers in algebra and combinatorics.
May 2019 US$98
£86
Solution Manual of Bestselling Textbook
Principles and Techniques in Combinatorics
Solutions Manual by Mingyan, Simon Lin (University of Illinois at Urbana-Champaign, USA), Kean Pew Foo The solutions manual provides comprehensive yet elementary solutions to each of the 489 problems that appeared in its bestselling parent textbook. The solutions to each problem are written from a first principles approach, which would have further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little undergraduate mathematics assumed. Readership: College and undergraduate students. 330pp 978-981-3238-84-8(pbk)
Feb 2019 US$38
£33
Weight Representations
450pp 978-981-4619-48-6
Sep 2018 US$162
£134
Board Games
Throughout the History and Multidimensional Spaces by Jorma Kyppö (University of Jyväskylä, Finland) In this richly illustrated book, the author explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter offers the new generalizations of the Euler-Poincare's Characteristic, Pi and Fibonacci sequence.
by Dimitar Grantcharov (University of Texas at Arlington, USA), Vera Serganova (UC Berkeley)
Readership: Researchers in combinatorics, complex manifolds and topology, game theory.
Weight representations are representations that include many important examples studied by both mathematicians and physicists. Using a combination of algebraic, geometric, and combinatorial methods, description of various classes (simple and indecomposable) of representations is provided in the book.
250pp 978-981-3233-52-2
Readership: Advanced graduate students and junior researchers in representation theory of Lie algebras.
4
Gröbner – Shirshov Bases
200pp 978-981-3271-45-6
Dec 2018 US$98
£85
Aug 2018 US$98
£86
Numerical and Symbolic Computations of Generalized Inverses by Yimin Wei (Fudan University, China), Predrag Stanimirovi & Marko Petkovi (University of Nis, Serbia) We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians. Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numericalsymbolic computations. Readership: Graduate students and researchers. 472pp 978-981-3238-66-4
Aug 2018 US$158
£139
WORLD SCIENTIFIC
Galois Theory and Applications
Infinite Group Theory
From the Past to the Future edited by Paul Baginski, Benjamin Fine (Fairfield University, USA) & Anthony M Gaglione (United States Naval Academy, USA)
Solved Exercises and Problems by Mohamed Ayad (Universitédu Littoral, Calais, France) The book provides exercises and problems with solutions in Galois Theory and its applications, which include wfinite fields, permutation polynomials, derivations and algebraic number theory. It will be useful to students who want to learn the material around the arithmetic of polynomials and field extensions, teachers who want to work on problems with their students, and researchers who require a reference book. The book contains some useful results generally known by specialists, but for which a detailed proof is not always in the literature. Readership: Undergraduate and graduate students in Galois group theory. 452pp 978-981-3238-30-5
Jun 2018 US$118
£104
The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of wpapers detailing areas of current interest. Readership: Graduate students and researchers in group theory. 260pp 978-981-3204-04-1
Feb 2018 US$98
£81
Essential Textbooks in Mathematics
Introduction to Number Theory by Richard Michael Hill (University College London, UK)
Notes on the Binomial Transform
Theory and Table with Appendix on Stirling Transform by Khristo N Boyadzhiev (Ohio Northern University, USA) This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa. Readership: Graduate and researchers in the areas of number theory, discrete mathematics, combinatorics, statistics working with applications using the binomial transform. 208pp 978-981-3234-97-0
Jun 2018 US$88
£75
A Textbook for Beginners by Marco Grandis (Universitàdi Genova, Italy) This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers its basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications. Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications and a choice of more advanced ones. References are given for applications in many other fields. Readership: Graduate students and researchers of mathematics, computer science, physics. Mar 2018 US$98
Readership: Students and educators in a university course on number theory. 264pp 978-1-78634-471-7
Feb 2018 US$108
£95
Number Theory and Its Applications II by Hailong Li (Weinan Normal University, China), Fuhuo Li (Sanmenxia SuDa Transportation Energy Saving Technology Co., Ltd., China), Nianliang Wang (Shangluo University, China) & Shigeru Kanemitsu (Kyushu Institute of Technology, Japan)
Category Theory and Applications
304pp 978-981-3231-06-1
This book is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions. Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations.
£86
With plenty of practical examples and worked-out exercises, and the scope ranging from these basic subjects made applicable to number-theoretic settings to advanced number theory, this book can then be read without tears. It will be of immense help to the reader to acquire basic sound skills in number theory and its applications. The raison d'être is that it is extremely reader-friendly while keeping the rigor of serious mathematics and in-depth analysis of practical applications to various subjects including control theory and pseudo-random number generation. One of the main features is that it gives several different approaches to the same topic, helping the reader to gain deeper insight and comprehension. Readership: Advanced undergraduate students, graduate students and researchers interested in number theory. 288pp 978-981-3231-59-7
Jan 2018 US$98
£86
5
Mathematics 2019 Numeral Systems with Irrational Bases for Mission-Critical Applications
Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci
by Alexey Stakhov (International Club of the Golden Section, Canada) This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci p-codes and codes of the golden p-proportions, and also on Bergman's system and "golden" ternary mirrorsymmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics.
by Kai-Wen Lan (University of Minnesota, Twin Cities, USA) This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms and on the construction of Galois representations without any polarizability conditions. This book is important for those who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas.
Readership: Researchers in mathematics and computer science.
Readership: Graduate students and researchers.
284pp 978-981-3228-61-0
580pp 978-981-3207-32-5
Dec 2017 US$118
£104
A Course on Abstract Algebra (2nd Edition)
Sep 2017 US$168
£148
Bestselling Reference
A Graduate Course in Algebra (In 2 Volumes)
by Minking Eie & Shou-Te Chang (National Chung Cheng University, Taiwan) “The text is greatly enriched by many varied and wonderful examples, all carefully worked out, and revealing some of the more subtle points of the theories. This is the text's greatest asset ... the authors have succeeded in writing a solid and complete text with many rich and varied examples that introduces the basics of modern algebra to the undergraduate audience.” Mathematical Reviews
by Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)
Three new chapters to this edition: group actions, introduction to module theory, and free modules.
"The authors have taken pains to make the book readable and student friendly, with clear writing and good examples. An unusual and very nice feature of the book is the breadth of topics covered, and the inclusion of interesting side issues that illustrate the power and ubiquity of algebra ... The combination of clear writing and interesting material makes for a very useful and valuable text." Mark Hunacek (Iowa State University, Ames, IA)
Readership: Advanced undergraduates and academics.
Readership: Graduate students and researchers in Algebra.
432pp 978-981-3229-62-4
872pp 978-981-3142-60-2 978-981-3142-61-9(pbk)
Nov 2017 US$88
£77
Aug 2017 US$178 US$98
£148 £81
Topics and Methods in q-Series
by James Mc Laughlin (West Chester University, USA)
6
“… in addition to presenting such a wonderful sweep of deep and beautiful material, is very strong pedagogically. It’s very well written, in an accessible and clear style, the material dealt with is effectively motivated and discussed in a sound and rigorous manner, all the proofs are there, and McLaughlin gives the reader a large number of exercises to do along the way, as he travels these paths. Again, the expressions and formulas that pepper the pages of this book are at first sight daunting, but they do yield to persistent pressure, as per Andrews’ observation cited above. The language of q-series makes for some beautiful poetry.” Mathematical Association of America Reviews Readership: Undergraduate and graduate students. 400pp 978-981-3224-17-9 978-981-3223-36-3(pbk)
Nov 2017 US$148 US$88
Advanced Textbooks in Mathematics
Periods and Special Functions in Transcendence
by Paula Tretkoff (Texas A& M University, USA & Université de Lille 1, France) This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi – Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students. Readership: Graduate students, researchers.
£130 £77
228pp 978-1-78634-294-2
Jul 2017 US$98
£81
WORLD SCIENTIFIC
COMPUTER MATHEMATICS & SCIENCE
Lectures on Lie Groups (2nd Edition)
by Wu-Yi Hsiang (UC Berkeley & Hong Kong University of Science and Technology)
A Pioneer in Complexity Science
This book is a concise introduction as well as a comprehensive "tour of revisiting" the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl. We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius – Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction. It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces. This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward. Readership: Advanced undergraduate and graduate students, and researchers in group theory. 160pp Jun 2017 978-981-4740-70-8 US$68 £56 978-981-4740-71-5(pbk) US$38 £32
Selected Papers of John H Holland edited by Jan Wouter Vasbinder & Helena Hong Gao (NTU, Singapore) With his work on computer logic, John H Holland became one of the most important founders of modern computer science. People who knew John H Holland were all amazed and deeply influenced by his incredibly imaginative and creative mind. This selection of his papers in the field of computer logic entails many of his explored and unexplored ideas. It should be of great interest to scientists of all ages, and of great value to the current research not only in computer science but in many other fields as well. Readership: Physicists, mathematicians, computer scientists, researchers and theorists interested in multi-disciplinary research. 260pp 978-981-3234-76-5
Jan 2018 US$118
£104
New Horizons for Second-Order Cybernetics
edited by Alexander Riegler (Vrije Universiteit Brussel, Belgium), Karl H Müller (International Academy for Systems and Cybernetic Sciences, Austria) & Stuart A Umpleby (George Washington University, USA)
Crystal Bases
Representations and Combinatorics by Daniel Bump (Stanford), Anne Schilling (UC Davis) "The introduction to crystal bases given in this book is accessible to graduate students and researchers. Its combinatorial approach is readerfriendly and invites the reader to get involved, either working on the exercises listed at the end of each chapter or by playing with the computational implementation on freely-available software, Sage in this case, where the authors have many built-in accessible examples and some algorithms for specific crystal bases."
This book reviews the current state of secondorder cybernetics and investigates which new research methods it can offer to tackle wicked problems in science and in society. The contributions explore its application to both scientific fields (such as mathematics, psychology and consciousness research) and non-scientific ones (such as design theory and theater science). It uses a pluralistic, multifaceted approach to discuss these applications. Each main article is accompanied by commentaries and author responses, which together allow readers to discover further perspectives than in the original article alone. Readership: Researchers in mathematical logic, philosophy, psychology and cybernetics.
MAA Reviews Readership: Graduate students and researchers interested in understanding from a viewpoint of combinatorics on crystal base theory. 292pp Mar 2017 978-981-4733-43-4 US$118 £98 978-981-4733-44-1(pbk) US$58 £48
NOTABLE BACKLIST The Golden Ratio and Fibonacci Numbers Richard A Dunlap (Dalhousie University, Canada) Principles and Techniques in Combinatorics Chen Chuan-Chong & Koh Khee-Meng (NUS, Singapore) A First Look at Graph Theory John Clark & Derek Allan Holton (University of Otago, New Zealand) Linear Algebra: Pure & Applied Edgar G Goodaire (Memorial University, Canada) Analytic Number Theory Paul T Bateman & Harold G Diamond (University of Illinois at UrbanaChampaign) A Walk Through Combinatorics (4th Edition) Miklós Bóna (University of Florida, USA)
404pp 978-981-3226-25-8
Nov 2017 US$168
£148
Information Theory
Part I: An Introduction to the Fundamental Concepts by Arieh Ben-Naim (The Hebrew University of Jerusalem, Israel) This book presents the fundamental concepts of Information theory in a friendly-simple language and is devoid of all kinds of fancy and pompous statements. It is unique in its presentation of Shannon's measure of information, and the clear distinction between this concept and the thermodynamic entropy. Ample examples are provided which help the reader in understanding the different concepts discussed. The emphasis is on the concepts and their meaning rather on the mathematical details of the theory. Readership: Students and researchers. 368pp 978-981-3208-82-7 978-981-3208-83-4(pbk)
Aug 2017 US$78 US$34
£65 £28
NOTABLE BACKLIST Examples in Markov Decision Processes A B Piunovskiy (The University of Liverpool, UK)
7
Mathematics 2019
DIFFERENTIAL & INTEGRAL EQUATIONS Series on Analysis, Applications and Computation
Nonlinear Waves
A Geometrical Approach by Petar Popivanov & Angela Slavova (Bulgarian Academy of Sciences, Bulgaria) This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications. Readers can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation are found and their interactions are studied and geometrically visualized. Classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied. Readership: University and graduate students, mathematicians, physicists, engineers. 208pp 978-981-3271-60-9
Jul 2019 US$88 £75
An Operator Theory Problem Book by Mohammed Hichem Mortad (University of Oran 1, Algeria) The first part of this book contains essential background on all of the covered topics with the sections: True or False Questions, Exercises, Tests and More Exercises. In the second part, readers may find answers and detailed solutions to the True or False Questions, Exercises and Tests. Another virtue of the book is the variety of the topics and the exercises and the way they are tackled. In many cases, the approaches are different from what is known in the literature. Also, some very recent results from research papers are included. Readership: Undergraduate students, lecturers and tutors in operator theory and functional analysis. 600pp 978-981-3236-25-7
Sep 2018 US$98 £86
Beyond the Triangle
Brownian Motion, Ito Calculus, and Fokker – Planck Equation — Fractional Generalizations by Sabir Umarov (University of New Haven, USA), Marjorie Hahn (Tufts University, USA) & Kei Kobayashi (Fordham University, USA) The book is devoted to the fundamental relationship between a stochastic process, stochastic differential equations driven by that process and their associated Fokker – Planck – Kolmogorov equations. It discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker – Planck – Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. There are examples and important applications to various scientific, engineering, and economics problems. Readership: Graduate students and researchers in science, engineering, economics. 192pp 978-981-3230-91-0
Apr 2018 US$98 £86
Ordinary Differential Equations and Boundary Value Problems
by John R Graef (University of Tennessee at Chattanooga, USA), Johnny Henderson (Baylor University, USA), Lingju Kong (University of Tennessee at Chattanooga, USA), Xueyan Sherry Liu (University of New Orleans, USA) Volume I: Advanced Ordinary Differential Equations This is a captivating introduction to ordinary differential equations (ODEs) with a number of non-routine exercises. It begins with a study of initial value problems for systems of differential equations. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. Linear systems of differential equations and stability theory of first order and vector linear systems are treated in detail. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples. The book concludes with a chapter on perturbed systems of ODEs. Volume II: Boundary Value Problems
Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions by Lei Yang (Peking University, China) Key Features:
8
• First book, whose contents can compare with the contents in Klein's icosahedral book • Emphasizes the fundamental unity of mathematics (i.e., geometry, algebra, analysis and arithmetic are interacted with each other by the Hessian group) • Gives a higher dimensional analogue of Jacobi's celebrated work "Fundamenta nova theoriae functionum" on the transformation property of elliptic integrals. Our book also provides a higher dimensional analogue of Dedekind's celebrated η-functions and Schwarz's celebrated triangular s-functions Readership: Academics and researchers. 316pp 978-981-3209-47-3
May 2018 US$148 £1236
The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly. A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues. The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems. Readership: Graduate students and researchers interested in ordinary differential equations. Volume I 176pp 978-981-3236-45-5
Apr 2018 US$88 £77
Volume II 342pp 978-981-3274-02-0
Jan 2019 US$98
£85
WORLD SCIENTIFIC
Matrix Methods and Fractional Calculus
Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes - Vol 1
Frontiers in Orthogonal Polynomials and q-Series
by Arak M Mathai (McGill University, Canada), Hans J Haubold (UN Office for Outer Space Affairs, Vienna International Centre, Austria)
edited by M Zuhair Nashed & Xin Li (University of Central Florida, USA)
This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. The editors has written a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/ algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.
Readership: Graduate students and researchers in all aspects of fractional calculus and its applications.
Readership: Graduate students and researchers. 576pp 978-981-3228-87-0
Mar 2018 US$178
Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula. This book is one attempt to provide an approach to include topics of fractional calculus into university curricula. Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics.
£157
292pp 978-981-3227-52-1
Jan 2018 US$98 £86
Peking University Series in Mathematics - Vol 7
Selected Papers of Weiyue Ding
A First Course in Partial Differential Equations
edited by You-De Wang (Chinese Academy of Sciences, China)
by J Robert Buchanan & Zhoude Shao (Millersville University, USA)
This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences. Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré – Birkhoff fixed point theorems, blow-up analysis for heat flow of harmonic maps. Readership: Researchers in partial differential equations and differential geometry. 632pp 978-981-3220-87-4
Feb 2018 US$158
£139
Readership: Mathematics, physical and life sciences, and engineering undergraduate students.
An Introduction to Second Order Partial Differential Equations Classical and Variational Solutions by Doina Cioranescu (Université Pierre et Marie Curie (Paris 6), France), Patrizia Donato (Université de Rouen, France) & Marian P Roque (University of the Philippines Diliman, Philippines)
624pp 978-981-3226-43-2
Readership: Graduate and post-graduate students, researchers. Jan 2018 US$78
Dec 2017 US$138
£121
Trends in Abstract and Applied Analysis - Vol 6
The book extensively introduces classical and variational partial differential equations (PDEs). The topics, even the most delicate, are presented in a detailed way. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise. Classical solutions of the Laplace, heat, and wave equations are provided. Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed.
300pp 978-981-3229-17-4
This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.
£69
The Strong Nonlinear Limit-Point/ Limit-Circle Problem
by Miroslav Bartušek (Masaryk University, Czech Republic), John R Graef (University of Tennessee at Chattanooga, USA) This monograph traces the development of what is known as the strong nonlinear limit-point and limit-circle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated. There is no other source of results on this problem except for the individual papers that appear in the literature. This work collects all that is known about this problem in one place. Directions for future research are indicated. Readership: Graduate students and researchers of mathematics. 324pp 978-981-3226-37-1
Dec 2017 US$118
£104
9
Mathematics 2019 Operator Functions and Operator Equations
by Michael I Gil' (Ben Gurion University of the Negev, Israel) This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functionaldifferential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. Readership: Undergraduate and graduate students, and researchers. 260pp 978-981-3221-26-0
Nov 2017 US$98 £81
Local and Global Aspects of Quasilinear Degenerate Elliptic Equations Quasilinear Elliptic Singular Problems by Laurent Véron (Université François Rabelais, France)
This book is about elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. It emphasizes on • Existence of separable singular solutions (enables description of isolated singularities of general solutions) • When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions. A priori estimates and Liouville type problems are analyzed. • When equations are considered with a forcing term in class of measures, their study is strongly linked to properties of a class of potentials appearing in harmonic analysis and to their associated capacities. Readership: Graduate students and researchers. 476pp 978-981-4730-32-7
New Edition of Bestseller
Lectures, Problems and Solutions for Ordinary Differential Equations (2nd Edition) by Yuefan Deng (Stony Brook University, USA)
This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1, 000 examples. The initial draft was used to teach more than 10, 000 advanced undergraduate students in engineering, physics, economics, as well as applied mathematics. It is a good source for students to learn problem-solving skills and for educators to find problems for homework assignments and tests. The 2nd edition, with at least 100 more examples and five added subsections, has been restructured to flow more pedagogically. Readership: Undergraduate students and entry level graduate students in science and engineering. 572pp Oct 2017 978-981-3226-12-8 US$118 £104 978-981-3226-13-5(pbk) US$58 £51
Trends in Abstract and Applied Analysis - Vol 5
Jul 2017 US$148 £123
Functional Equations and Inequalities
Solutions and Stability Results by John Michael Rassias (National and Kapodistrian University of Athens, Greece), E Thandapani (University of Madras, India), K Ravi (Sacred Heart College, India) & B V Senthil Kumar (C Abdul Hakeem College of Engineering & Technology, India) This volume is written by authors in this field for the past 50 years. It contains basic notions, methods of solving, and growth of functional equations in the last 4 decades, and an extensive reference list on fundamental research papers that investigate stability results of different types of functional equations and inequalities. It starts from fundamental ideas to higher levels of results in recent research. Readership: Advanced undergraduates, postgraduates and researchers. 396pp May 2017 978-981-3147-60-7 US$118 £98 978-981-3149-97-7(pbk) US$58 £48
Higher Order Boundary Value Problems on Unbounded Domains
Types of Solutions, Functional Problems and Applications by Feliz Manuel Minhós (University of Évora, Portugal), Hugo Carrasco (Research Centre in Mathematics and Applications (CIMA), Portugal)
10
This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line. It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators. Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases. Readership: Graduate students and researchers interested in nonlinear analysis. 216pp 978-981-3209-90-9
Oct 2017 US$98 £81
NOTABLE BACKLIST Second Order Parabolic Differential Equations G M Lieberman (Iowa State University) Special Functions Z X Wang & D R Guo (Peking University)
WORLD SCIENTIFIC
GEOMETRY & TOPOLOGY
Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary by Gabriel Katz (MIT)
Differential Forms by Victor Guillemin & Peter Haine (MIT) There exist a number of excellent graduate level texts on the theory of differential forms and a handful of very good undergraduate texts on multi-variable calculus as well in which this subject is briefly introduced. However, this book covers an unfilled niche as an "intermediate level text" for first-year graduate students and for juniors and seniors in fast-paced undergraduate mathematics programs. In particular, the first three chapters provide a careful exposition of the theory of forms that touches on all the main topics in differential forms. Readership: First-year graduate and advanced undergraduate students in math programs. 240pp 978-981-3272-77-4
May 2019 US$98
£85
Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along the way, this study extends into the spaces of flow trajectories, their complexity and intricate combinatorics. New invariants of gradient flows, as well as invariants of the underlying manifold are produced, based on the understanding of these structures (on the space of trajectories and on the flow-generated spines). The process leading to a discovery is equally if not more important than the discover itself and in this book, classical singularity theory guides our investigations, and algebraic topology provides the tools. Readership: Graduate students and researchers specialized in geometric topology, singularity theory and dynamical systems. 600pp Mar 2019 978-981-4368-75-9 US$174
£144
Fractalize That A Visual Essay on Statistical Geometry by John Shier
High Dimensional Knotting
The book describes a recently discovered random fractal space-filling algorithm beginning with tessellations and Sierpinski, illustrating the relationship to statistical geometry and bringing together all that is known about it to a wider audience of mathematicians and scientists. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm. Readership: Students, mathematicians, physicists, professionals, and the general public who are interested in the fractal art of statistical geometry. 110pp 978-981-3275-16-4
Mar 2019 US$80
Awn Illustrated Guide by Dennis Roseman (University of Iowa, USA) Focused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book is a guide to methods and examples of higher dimensional knotting. It has modest mathematical requirements, has been written with non-specialists and contains considerable background information. Knotting whether fanciful or practical has been of interest to many — from sculptors to sailors and in more modern times to mathematicians, biologists and physicists. Knotting in 4-dimensional space involves surfaces — spheres, tori, Klein bottles and others while in five dimensions one looks primarily at similar tangling and self-tangling of three dimensional objects. Visualization and techniques for higher dimensions are discussed. Readership: Graduate students, researchers, scientists and engineers.
£70
500pp 978-981-3237-39-1
Feb 2019 US$178 £157
Conformal Maps and Geometry by Dmitry Beliaev (Oxford)
Bestselling Author
This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry. It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. This book is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm–Loewner Evolution. Readership: Advanced undergraduate or graduate students in mathematics. 230pp 978-1-78634-613-1
Feb 2019 US$88
$75
Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications
Elegant Fractals
Automated Generation of Computer Art by Julien Clinton Sprott (University of Wisconsin-Madison, USA) VISUAL ELEGANCE - provides an automated method for producing interesting fractals with over 100 full-color examples ACCESSIBLE COMPUTATION - describes the mathematics behind creation of fractals "DO-IT YOURSELF TOO!" TECHNOLOGY ENGINE - provides a link to the software behind generation of countless additional examples Readership: Student, professional and general public. 250pp 978-981-3237-13-1
Feb 2019 US$98 £86
11
Mathematics 2019 Geometry of Biharmonic Mappings Differential Geometry of Variational Methods by Hajime Urakawa (Tohoku University, Japan) The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry. New theory and complete theory are described in detail. Readership: Researchers in global analysis, geometry, calculus of variations and partial differential equations. 300pp 978-981-3236-39-4
Oct 2018 US$98 £86
Nankai Tracts in Mathematics
Minimal Submanifolds and Related Topics (2nd Edition) by Yuanlong Xin (Fudan University, China) "This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists." Zentralblatt MATH
Series on Knots and Everything - Vol 62
The Mereon Matrix
Everything Connected through (K)nothing edited by Jytte Brender McNair (Aalborg University, Denmark), Lynnclaire Dennis (The Mereon Legacy CIC, UK) & Louis H Kauffman (University of Illinois at Chicago, USA) In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology. Through the definition of eleven First Principles, it offers a new perspective on dynamic, whole and sustainable systems that may serve as a template information model. This template has been applied to a set of knowledge domains for verification purposes: pre-life-evolution, human molecular genetics and biological evolution, as well as one social application on classroom management. Care has been taken to use images and languaging that are understandable across domains, and connecting diverse disciplines. Readership: Researchers in knot theory, geometry and systems theory. 904pp 978-981-3233-55-3
Jul 2018 US$198 £174
Zeta Functions of Reductive Groups and Their Zeros by Lin Weng (Kyushu University, Japan)
This edition contains the author's recent work on the Lawson – Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson – Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail. Readership: Researchers and graduate students in differential geometry 380pp 978-981-3236-05-9
Oct 2018 US$128 £113
The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles edited by Richard Wentworth (University of Maryland, USA), Graeme Wilkin (NUS, Singapore) In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. This book contains a number of lectures on recent topics of importance related to Higgs bundles. It is an accessible introduction to algebraic stacks and the stack of Higgs bundles.
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Readership: Graduate students and researchers. 370pp 978-981-3229-08-2
Aug 2018 US$138 £121
Key Features: • Genuine zeta functions for reductive groups over number fields are introduced and studied systematically, based on (i) fine parabolic structures and Lie structures involved, (ii) a new stability theory for arithmetic principal torsors over number fields, and (iii) trace formula via a geometric understanding of Arthur's analytic truncations • For the first time in history, we prove a weak Riemann hypothesis for zeta functions of reductive groups defined over number fields • Not only the theory is explained, but the process of building the theory is elaborated in great detail Readership: Graduate students and researchers. 556pp 978-981-3231-52-8
Apr 2018 US$168 £148
Series in Pure Mathematics - Vol 28
The Geometry of Spherical Space Form Groups (2nd Edition) by Peter B Gilkey (University of Oregon, USA) This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. This is a completely rewritten revision of the first edition with substantial amounts of new material applying the basic material of the book. Readership: Graduate students and researchers. 508pp 978-981-3220-78-2
Mar 2018 US$148 £123
WORLD SCIENTIFIC
Combinatorial and Toric Homotopy Introductory Lectures edited by Alastair Darby (Fudan University, China), Jelena Grbi (University of Southampton, UK), Zhi Lü (Fudan University, China) & Jie Wu (NUS, Singapore) This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. Contents include: Toric Homotopy Theory (Stephen Theriault); Fullerenes, Polytopes and Toric Topology (Victor M Buchstaber and Nikolay Yu Erokhovets); Around Braids (Vladimir Vershinin); Higher Limits, Homology Theories and fr-Codes (Sergei O Ivanov and Roman Mikhailov); Configuration Spaces and Robot Motion Planning Algorithms (Michael Farber); Cellular Stratified Spaces (Dai Tamaki) Readership: Advanced undergraduate and graduate students, researchers. 448pp 978-981-3226-56-2
Differential Geometry of Warped Product Manifolds and Submanifolds by Bang-Yen Chen (Michigan State University, USA) Warped product manifolds plays very important roles in geometry and mathematical physics, especially in general relativity. Many basic solutions of the Einstein field equations are warped product manifolds. This volume provides a self-contained and accessible introduction to the important subject of pseudoRiemannian manifolds and submanifolds. It presents a detailed and up-to-date account on important results of warped product manifolds. Readership: Graduate students and researchers in geometry, mathematical physics and general relativity. 516pp 978-981-3208-92-6
Jul 2017 US$158 £131
Dec 2017 US$168 £148
New Topological Invariants for Real- and Angle-Valued Maps
An Alternative to Morse – Novikov Theory by Dan Burghelea (Ohio State University, USA) Key Features: • The theory presented here is new; All needed mathematics is sufficiently summarized • This theory is a refinement of “topological persistence” which already had many applications in data analysis, so it will be no surprise that this refinement will be equally useful in applications • Can be used in search for new topics of research in applied topology, and those who hope to use ideas of Morse – Novikov theory in applications and find new effective methods to calculate important homological invariants until now not easily accessible to computers Readership: Graduate students and researchers in geometry, topology, computer scientists and data analysts. 260pp 978-981-4618-24-3
Bestselling Author
Oct 2017 US$78 £69
Spectral Geometry of the Laplacian
Differential Geometry of Curves and Surfaces by Masaaki Umehara & Kotaro Yamada (Tokyo Institute of Technology, Japan) & translated by Wayne Rossman (Kobe University, Japan) "The book will serve as a very useful reference for a broad range of applied mathematicians, physicists, as well as theoretical geophysicists seeking a precise, systematic presentation of the differential geometry underlying much of modern theory. After reading the book the reader should have a good feeling for the material presented, provided that he has done all the exercises! For mathematically oriented readers, I recommend also the additional material." Pure and Applied Geophysics Readership: Undergraduate and graduate students, and researchers. Jul 2017 328pp US$88 £73 978-981-4740-23-4 978-981-4740-24-1(pbk) US$48 £42 LTCC Advanced Mathematics Series - Vol 4
Geometry in Advanced Pure Mathematics
Spectral Analysis and Differential Geometry of the Laplacian by Hajime Urakawa (Tohoku University, Japan)
edited by Shaun Bullett (Queen Mary University of London, UK), Tom Fearn & Frank Smith (University College London, UK)
The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz – Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne – Pó lya – Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdière, that is, the spectrum determines the totality of all the lengths of closed geodesics is described. We give the V Guillemin and D Kazhdan's theorem which determines the Riemannian manifold of negative curvature.
This book leads readers from a basic foundation to an advanced level understanding of geometry. This is the perfect text for those looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics, hyperbolic geometry, syzygies, minimal resolutions, and minimal surfaces.
Readership: Researchers in differential geometry and partial differential equations. 312pp 978-981-3109-08-7
Aug 2017 US$118 £98
Readership: Researchers, graduate students. 236pp 978-1-78634-106-8
May 2017 US$88 £73
NOTABLE BACKLIST Lectures on Differential Geometry S S Chern (UC Berkeley, USA), W H Chen (Beijing University), K S Lam (California State Polytechnic University)
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Mathematics 2019
MATHEMATICAL ANALYSIS
Techniques, Examples, and Exercises
The Fractional Laplacian by Wenxiong Chen, Yan Li (Yeshiva University, USA) & Pei Ma (Nanjing Normal University, China) This book provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to current research in this area. The explanations and illustrations are elementary enough so that readers can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which the professionals would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. It emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence. Readership: Graduate students and researchers. 350pp 978-981-3223-99-8
Integration for Calculus, Analysis, and Differential Equations
May 2019 US$128
by Marat V Markin (California State University, Fresno, USA) The book assists Calculus students to gain a better understanding and command of integration and its applications. Its reaches to students in advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential. Keeping readers constantly focused on the three principal epistemological questions: "What for?", "Why?", and "How?", the book also contains a wealth of 143 examples, including 112 problems with complete step-by-step solutions, while providing several methods of solving the same problem. 6 Exercises and 162 Practice Problems are offered as well as 30 Mixed Integration Problems. Readership: Undergraduates with an interest in integration and its applications. 150pp 978-981-3272-03-3
Nov 2018 US$58
£50
£113
A Course in Analysis by Niels Jacob & Kristian P Evans (Swansea University, UK)
Bestselling Author
Metric in Measure Spaces Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap. Contents include: Measure and Outer Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy – Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings
Key Features: • A coherent treatment of the entire core in mathematical analysis for undergraduate and graduate students — a unique source for learning as well as a reference text for later studies • A comprehensive and modern treatment of indispensible theories for every mathematician: measure and integration theory, complex function theory, fourier analysis. ordinary differential equations, calculus of variations • Each volume has more than 250 problems solved in full detail
Readership: Mathematicians and graduate students in mathematics.
Readership: Undergraduate and graduate students in mathematics
400pp 978-981-3200-39-5 978-981-3200-40-1(pbk)
Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable 784pp Dec 2017 978-981-3221-59-8 US$128 £113
by J Yeh (University of California, Irvine, USA)
Dec 2018 US$98 US$58
£81 £48
Series in Real Analysis
Vol. IV: Fourier Analysis, Ordinary Differential Equations, Calculus of Variations 780pp Nov 2018 978-981-3273-51-1 US$188 £113
Kurzweil – Stieltjes Integral
Theory and Applications by Giselle Antunes Monteiro (Academy of Sciences of the Czech Republic), Antonín Slavík (Charles University, Czech Republic) & Milan Tvrdý(Academy of Sciences of the Czech Republic)
14
Lectures on Functional Analysis and Applications (2nd Edition)
The book is primarily devoted to the theory of the Kurzweil – Stieltjes integral, its important applications in functional analysis, and in the theory of various kinds of generalized differential equations, including equations with impulses and dynamic equations on time scales. It presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way. Readership: Advanced undergraduates, graduate students and researchers in mathematical analysis and differential equations. 404pp 978-981-4641-77-7
Nov 2018 US$132
£110
by V S Pugachev & I N Sinitsyn (Russian Academy of Sciences, Russia) The materials covered, which includes all information on functional analysis necessary for those in various areas of mathematics applications and the simplicity of presentation, differentiates this book from others. This edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories. Chapters 1 – 10 has been improved and made up to date with current fundamental and applied developments. Readership: Undergraduate and graduate students, researchers in applied mathematics, and engineers. 800pp 978-981-3203-17-4 978-981-3203-18-1(pbk)
Oct 2018 US$178 US$88
£148 £73
WORLD SCIENTIFIC
Weighted Inequalities Involving p-quasiconcave Operators
Series in Real Analysis - Vol 14
Nonabsolute Integration on Measure Spaces
by William Desmond Evans (Cardiff University, UK), Amiran Gogatishvili (Academy of Sciences of the Czech Republic) & Bohumír Opic (Charles University, Czech Republic)
by Wee Leng Ng (NTU, Singapore)
Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) R. In this book we analyse the class Q(I) of -quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Q(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.
Aug 2018 US$98
£85
New Edition of Bestseller by Nik Weaver (Washington University in St. Louis, USA) “This nice little volume attempts, with considerable success, to place spaces and algebras of Lipschitz functions in functional analysis alongside their more familiar cousins whose elements are continuous or measurable functions of one sort or another. Most readers will discover that its subject is richer than they imagined, and that, notwithstanding the author’s engaging style, it can be quite difficult.” Mathematical Reviews The edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions. Readership: Graduate students and specialists in functional analysis. Jul 2018 US$148
Dec 2017 US$88
£77
Harmonic Analysis and Fractal Analysis over Local Fields and Applications
by Weiyi Su (Nanjing University, China)
Lipschitz Algebras (2nd Edition)
472pp 978-981-4740-63-0
Readership: Graduate students and researchers interested in analysis. 248pp 978-981-3221-96-3
Readership: Graduate students and researchers. 150pp 978-981-3239-62-3
This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock – Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon – Nikodým theorem.
£130
Abstract Duality Pairs in Analysis by Charles Swartz (New Mexico State University, USA)
The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz – Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach – Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali – Hahn – Saks Theorem from measure theory and the Hahn – Schur Theorem from summability.
The book is self-contained, with wide scope and deep knowledge, taking modern mathematics as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Readership: Undergraduate students, graduate students and researchers. 332pp 978-981-3200-49-4
Oct 2017 US$118
£98
New Edition of Bestseller
Weighted Inequalities of Hardy Type (2nd Edition)
by Alois Kufner (Academy of Sciences & University of West Bohemia, Czech Republic & RUDN University, Russia), Lars-Erik Persson (Luleå University of Technology, Sweden & UiT, The Arctic University of Norway, Norway & RUDN University, Russia) & Natasha Samko (Luleå University of Technology, Sweden) "The exposition is clear, with virtually all details contained in the text. This is a core resource for this subject." Mathematical Reviews Clippings In this edition, all chapters have been updated. There is a new chapter with information concerning a convexity approach to prove and explain Hardy-type inequalities, sharp constants, scales of inequalities to characterize Hardy-type inequalities, Hardy-type inequalities in other function spaces; and a number of new open questions.
Readership: Graduate Students and researchers in functional analysis.
Readership: Postgraduates, researchers in mathematical analysis, engineering, numerical analysis and applied mathematics.
304pp 978-981-3232-76-1
480pp 978-981-3140-64-6
Feb 2018 US$118
£104
Aug 2017 US$128
£106
15
Mathematics 2019 An Introduction to Analysis
Singular Bilinear Integrals
by Piotr Mikusiski (University of Central Florida, USA), Jan Mikusiski
by Brian Jefferies (University of New South Wales, Australia)
"What I liked most about this book is its style, which renders difficult notions easy to grasp by students who followed a calculus course. Yet it gives easy proofs and shows different sides of mathematical analysis. I strongly recommend it to every college library."
This book is unique in drawing out the common features of functional analysis in operator traces, scattering theory, stochastic integration, semiclassical approximation and operator equations. The decoupling approach to bilinear integration with respect to vector measures like spectral measures is a common theme of these topics, laid out systematically here for the first time. The background to these topics is described with pointers to the relevant texts so that the book could be used profitably.
MAA Reviews Readership: Undergraduate students in introductory real analysis course. 320pp 978-981-3202-61-0
Apr 2017 US$88 £73
Essential Textbooks in Mathematics
Readership: Graduate students and researchers in measure and integration, functional analysis, operator theory, harmonic analysis, mathematical physics and stochastic processes.
A Friendly Approach to Functional Analysis
252pp 978-981-3207-57-8
Mar 2017 US$98 £81
"This is a nice and modern introduction to the topic ... If the reader is a student who wants to be become proficient in the subject, then solving the exercises, or as many as possible, is an excellent way to acquire the necessary skills. The flexible possibilities provided — the text can be used as lecture notes for a course, or as a tool for self study, and even as a handbook to look up some definitions or theorems."
Problems and Solutions in Real Analysis (2nd Edition)
by Amol Sasane (London School of Economics, UK)
European Mathematical Society Readership: Graduate students in functional analysis, operator theory and mathematical physics. 396pp Apr 2017 978-1-78634-333-8 US$118 £98 978-1-78634-334-5(pbk) US$68 £56
Concise Calculus by Sheng Gong & translated by Youhong Gong (University of Science and Technology of China) "Essential elements promised are: illustrative, practical applications and effective economy. Both promises are partly met in this edition, resulting in a good single volume supplemental to several undergraduate university courses." MAA Reviews Readership: Undergraduate students in mathematics, physics, engineering and computer science.
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692pp Apr 2017 978-981-4291-48-4 US$110 £91 978-981-4291-49-1(pbk) US$58 £48
by Masayoshi Hata (Kyoto University, Japan) This edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces. Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. It contains many brief historical comments for some significant mathematical results in real analysis together with many references. Readership: Undergraduates and graduate students in mathematical analysis. 376pp Feb 2017 978-981-3142-81-7 US$88 £73 978-981-3142-82-4(pbk) US$48 £40
NOTABLE BACKLIST Advanced Calculus (Revised Edition) Lynn Harold Loomis & Shlomo Sternberg (Harvard) A Guide to Distribution Theory and Fourier Transforms Robert S Strichartz (Cornell University, USA) Applied Analysis John K Hunter & Bruno Nachtergaele (UC Davis, USA) Real Analysis: Theory of Measure and Integration (3rd Edition) J Yeh (UC Irvine) Functions of Several Real Variables Martin Moskowitz (City University of New York, USA), Fotios Paliogiannis (St. Francis College, USA) What is Calculus? From Simple Algebra to Deep Analysis R Michael Range (State University of New York at Albany, USA)
WORLD SCIENTIFIC
MATHEMATICAL BIOLOGY Stochastic Models in the Life Sciences and Their Methods of Analysis by Frederic Y M Wan (UC Irvine)
This volume provides working knowledge of stochastic differential / difference equations (SDE). Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in life sciences. It introduces a collection of analytical and computational methods for research and applications in this emerging area of life science. Readership: Undergraduates, graduates, researchers in mathematical biology, stochastic processes and infectious diseases. 371pp 978-981-3274-60-0
Mar 2019 US$98 £85
Dynamical System Models in the Life Sciences and Their Underlying Scientific Issues by Frederic Y M Wan (UC Irvine) Key Features: • When mathematical techniques are introduced, they are initiated and motivated by specific questions on the phenomena so that readers can see the need for the relevant mathematics • Nearly all mathematical methods introduced to analyze specific models can be traced back to, and explained in terms of basic calculus and/or matrix operations • By asking different questions about the same biological phenomenon, a familiar model is routinely extended or modified to a different level of complexity to motivate the need for more mathematics Readership: Undergraduates in mathematical biology, mathematical modeling of dynamical systems, optimization, control, viral dynamics, oncology. 400pp Oct 2017 978-981-3143-33-3 US$128 £113 978-981-3143-70-8(pbk) US$78 £69
Applications of Calculus to Biology and Medicine by Nathan C Ryan (Bucknell University, USA), Dorothy Wallace (Dartmouth College, USA) Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do they see authentic applications of its techniques and concepts. This book is designed to address this issue: it prepares students to engage with research literature in the mathematical modeling of biological systems. The text includes projects, problems and exercises: projects engage students with research literature, problems extend students' understanding and exercises ask the students to check their understanding . Readership: Undergraduates in biomathematics, mathematical biology, mathematical modeling, applied mathematics, and dynamical systems. 272pp 978-981-3222-77-9
Oct 2017 US$95 £84
Fundamentals of Network Biology
by WenJun Zhang (Sun Yat-sen University, China) As the first comprehensive title on network biology, this book covers a wide range of subjects including scientific fundamentals (graphs, networks, etc) of network biology, construction and analysis of biological networks, methods for identifying crucial nodes in biological networks, link prediction, flow analysis, network dynamics, evolution, simulation and control, ecological networks, social networks, molecular and cellular networks, network pharmacology and network toxicology, big data analytics, and more. Readership: Advanced undergraduates and graduate students and researchers in biology, ecology, pharmacology, applied mathematics, computational science, etc. 568pp Jul 2018 978-1-78634-508-0 US$188 £165
A Mathematical Modeling Approach to Infectious Diseases Cross Diffusion PDE Models for Epidemiology By William E Schiesser (Lehigh University, USA) This book provides a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables. The ODE/PDE methodology is open ended and facilitates the development of computer-based models which can elucidate the causes/conditions of infectious disease evolution and suggest methods of control. Readership: Medical researchers, biologists, applied mathematicians, NIH, WHO, pharmaceutical companies. 460pp 978-981-3238-78-7
Jun 2018 US$98 £86
Computational Chemotaxis Models for Neurodegenerative Disease by William E Schiesser (Lehigh University, USA)
The mathematical model presented, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the spatiotemporal distribution of components which could explain the evolution of ND, and is offered with the intended purpose of providing a small step toward the understanding, and possible treatment of ND. Readership: Biologists, medical researchers and clinicians, biophysicists, biochemists, engineers and applied mathematicians. 172pp May 2017 978-981-3207-45-5 US$98 £81 978-981-3208-91-9(pbk) US$58 £48
NOTABLE BACKLIST Dynamics of Cancer: Mathematical Foundations of Oncology Dominik Wodarz & Natalia L Komarova (UC Irvine)
17
Mathematics 2019
MATHEMATICAL COMPUTATION & MODELING Complexity Science
An Introduction edited by Mark A Peletier, Rutger A van Santen (Eindhoven University of Technology, The Netherlands) & Erik Steur (Delft University of Technology, The Netherlands) This book comprises methods and principles in Complexity Science from various disciplinary fields. It introduces different aspects in a coherent fashion, providing a common basis and the founding principles of different complexity science approaches; the next discusses the different methods with interesting illustrative applications. The fundamental topics deal with self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-adapting and self-correcting systems, and complex networks. Readership: Graduate students and researchers interested in complexity ranging from physics, mathematics, chemistry, to biology and social sciences. 400pp 978-981-3239-59-3
Aug 2019 US$138
£120
An Introduction to Mathematical Models by Francesco Mainardi (University of Bologna, Italy)
This book is a self-contained treatment of the mathematical theory of linear viscoelasticity with particular regard to models based on fractional calculus. The explanations are detailed and capture the interest of the curious reader, and complete to provide the necessary background material needed to delve further into the subject and explore the research literature. Graphics are extensively used and a large general bibliography is included. Each chapter in this edition has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions. Readership: Engineers, graduate students and researchers in applied sciences. May 2019 US$150
Algebraic, Geometric, Combinatorial, Topological and Applied Approaches to Understanding Musical Phenomena edited by Mariana Montiel (Georgia State University, USA), Robert W Peck (Louisiana State University, USA) Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and GraphTheoretical Approaches; and (iii) Distance and Similarity Measures in Music. Readership: Students and researchers.
Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition)
400pp 978-1-78326-398-1
Mathematical Music Theory
£125
250pp 978-981-3235-30-4
Nov 2018 US$98
£86
Advanced Textbooks in Mathematics
Crowds in Equations
An Introduction to the Microscopic Modeling of Crowds by Bertrand Maury & Sylvain Faure (Université Paris-Sud, France) The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties from a theoretical and practical standpoint. It aims to develop 'modeling skills', giving readers the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project enables readers to run the simulations discussed within the text. Using a mathematical perspective, this book presents a systematic investigation of paradoxical phenomena, such as the Faster is Slower effect, to bring new understanding to complex issues. Readership: Students or researchers interested in crowd motion modeling.
Advanced Mathematical and Computational Tools in Metrology and Testing XI edited by Alistair B Forbes (National Physical Laborator y, UK), Anna Chunovkina (D I Mendeleev All-Russian Institute for Metrology (VNIIM), Russia), Sascha Eichstädt (Physikalisch-Technische Bundesanstalt, Germany), Nien-Fan Zhang (National Institute of Science and Technology, USA), Franco Pavese (Istituto Nazionale di Ricerca Metrologica (INRIM), Italy)
190pp 978-1-78634-551-6
Oct 2018 US$78
£69
Chemotaxis, Reaction, Network Mathematics for Self-Organization by Takashi Suzuki (Osaka University, Japan)
This volume contains original, refereed contributions by researchers from institutions and laboratories across the world that are involved in metrology and testing. The papers present new modeling approaches, algorithms and computational methods for analyzing data from metrology systems and evaluation measurement uncertainty, and describe their applications in a wide range of measurement areas. It covers the latest computational approaches and describes applications to current measurement challenges in engineering, environment and life sciences.
This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include: New mathematical results observed in nonlinear systems significantly associated with the physical background on self-organization; Mathematically self-contained descriptions based on systematic and comprehensive descriptions of recently developed mathematical techniques; Fusion of many areas by strongly supported theoretical leaderships, including, chemotaxis, turbulence, fluid motion, reaction, and network
Readership: Researchers, graduate students, academics and professionals in metrology.
Readership: Researchers in partial differential equations, mathematical modeling, mathematical physics.
460pp 978-981-3274-29-7
320pp 978-981-3237-73-5
18
Jan 2019 US$168 £150
Sep 2018 US$118
£104
WORLD SCIENTIFIC
Method of Lines Analysis of Turing Models
Grammar of Complexity From Mathematics to a Sustainable World by Dimitri Volchenkov (Texas Tech University, USA)
by William E Schiesser (Lehigh University, USA)
The book is an introduction to the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems, it shows how the concepts of complexity theory is applicable to the problem fo survival, urban studies, income inequality, musical harmony. Our self-consistent review provides the necessary basis for consistency. We discuss applications such diverse as urban structures and musical compositions.
This book discusses numerical methods and associated computer routines for reaction-diffusion systems of varying form. The numerical examples are discussed in numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and in a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The routines are available through a link and readers can execute the PDE models to reproduce the solutions, experiment with the models, extend and apply to other models.
Readership: Graduate student in information theory, complex systems and mathematical modeling.
Readership: Biologists, medical researchers and clinicians, biophysicists, biochemists, biomathematicians, anthropologists, engineers.
284pp 978-981-3232-49-5
268pp 978-981-3226-69-2
Mar 2018 US$98
£86
Aug 2017 US$88
The Limits of Mathematical Modeling in the Social Sciences
Fractional Kinetics in Space
The Significance of Gödel’s Incompleteness Phenomenon edited by Francisco Antonio Doria (Universidade Federal do Rio de Janeiro, Brazil)
Anomalous Transport Models by Vladimir Uchaikin (Ulyanovsk State University, Russia), Renat Sibatov (Ulyanovsk State University, Russia) This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space. This method is based on a special mathematical analysis — fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of physicists.
Current mathematical models are notoriously unreliable in describing the time evolution of unexpected social phenomena, from financial crashes to revolution. Can such events be forecast? Can we compute probabilities about them? Can we model them? This book investigates answers these questions through Gödel's two incompleteness theorems, and demonstrates how influential Gödel is in modern logical and mathematical thinking. Readership: Graduate level mathematicians applying their work to social sciences, formal logicians and philosophers of science.
Readership: Graduate and postgraduate students, researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays.
288pp 978-1-78634-315-4
300pp 978-981-3225-42-8
Mathematical Methods for the Natural and Engineering Sciences (2nd Edition)
Jan 2018 US$108
£77
£95
Jul 2017 US$118
£98
by Ronald E Mickens (Clark Atlanta University, USA)
Mathematics of Planet Earth A Primer edited by Dan Crisan (Imperial College London, UK) Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics. This textbook introduces the fundamental topics of MPE while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples. Readership: Advanced undergraduate and graduate students in mathematics, physics and engineering; geophysical fluid dynamics for meteorology, atmospheric science and oceanography.
"Most chapters can be studied independently of each other. This allows one to select material appropriate for the one semester course whereas all the topics can be presented in one year. The text contains enough material to support courses on advanced engineering mathematics, mathematical methods or mathematical physics and thus is warmly recommended as supplementary reading. The book shall also prove very helpful to specialists who look for a well-written introduction to basic mathematical techniques used for solving applied problems." Zentralblatt MATH Readership: Undergraduate and graduate students, and researchers studying / using mathematical methods. 640pp 978-981-3202-70-2
Feb 2017 US$138
NOTABLE BACKLIST 372pp 978-1-78634-382-6 978-1-78634-383-3(pbk)
Sep 2017 US$118 US$40
£104 £35
Calculating Catastrophe Gordon Woo
£115
19
Mathematics 2019
MATHEMATICAL FINANCE & ECONOMICS Risk and Stochastics
Ragnar Norberg at 70 edited by Pauline Barrieu (London School of Economics and Political Science, UK) This book is a collection of articles written by respected academics who have influenced and been influenced by the life and work of Professor Norberg. Celebrated in this book are his professional and academic achievements, most significantly the instrumental work he put into setting up the world-renowned Risk and Stochastics Group at the London School of Economics (LSE). Subjects covered include discussion of risk measurements, ruin constraint, supporting stable pensions, filtration in discrete time, Riesz means and Beurling moving averages and orthonormal polynomial expansions. Readership: Graduate level students and researchers in modern actuarial and financial mathematics and their interface. 250pp 978-1-78634-194-5
Apr 2019 US$85 £71
Probability and Statistics for Economists by Yongmiao Hong (Cornell) This book provides comprehensive coverage of probability and statistics that will be useful as indispensable mathematical tools in economics. As a most important feature, this textbook emphasizes intuition, explanations and applications of probability and statistics from an economic perspective. Various numerical examples are provided to illustrate the concepts, theory and methods in probability and statistics introduced.
Theoretical Foundations for Quantitative Finance
by Luca Spadafora (Università Cattolica del Sacro Cuore, Italy), Gennady P Berman (Los Alamos National Laboratory, USA & New Mexico Consortium, USA) "Spadafora and Berman present the fundamentals of quantitative finance focusing on pricing and risk management problems from a practical and a methodological point of view. This book can be recommended both to graduate students approaching finance for the gentle introduction to the main subjects aided by the necessary mathematical tools, and to practitioners, which may value the convincing presentation of recent developments in the field." Andrea Pallavicini Head of Equity, FX and Commodity Models, Banca IMI, Italy Readership: Students and researchers in quantitative finance, risk management and stochastic analysis. 224pp Jun 2017 978-981-3202-47-4 US$78 £65
Time Series Econometrics (In 2 Volumes) edited by Pierre Perron (Boston University, USA)
Volume 1: Unit Roots and Trend Breaks covers statistical methods related to unit roots, trend breaks and their interplay. Testing for unit roots has been a topic of wide interest and the author was at the forefront of this research. Volume 2: Structural Change is about statistical methods related to structural change in time series models. The approach adopted is off-line whereby one wants to test for structural change using a historical dataset and perform hypothesis testing. A distinctive feature is the allowance for multiple structural changes. Readership: Graduate students and researchers in theoretical and applied time series analysis. 1100pp 978-981-3237-85-8(Set)
Nov 2018 US$298
£262
Readership: Graduate students in economics, statistics and related fields. 592pp 978-981-3228-81-8
Jan 2018 US$118
Heavy Tails and Copulas £104
Deterministic and Stochastic Topics in Computational Finance by Ovidiu Calin (Princeton)
20
What distinguishes this book from other texts on mathematical finance is the use of both probabilistic and PDEs tools to price derivatives for both constant and stochastic volatility models, by which the reader has the advantage of computing explicitly a large number of prices for European, American and Asian derivatives. The book presents continuous time models for financial markets, starting from classical models and evolving towards the most popular models today. Readership: Undergraduates, graduate students and researchers in Mathematical Finance. 484pp 978-981-3203-07-5 978-981-3203-08-2(pbk)
Jan 2017 US$138 US$68
£115 £56
Topics in Dependence Modelling in Economics and Finance by Rustam Ibragimov (Imperial College London, UK), Artem Prokhorov (University of Sydney, Australia) This book offers a unified approach to the study of crises, large fluctuations, dependence and contagion effects in economics and finance. It covers important topics in statistical modeling and estimation, which combine the notions of copulas and heavy tails to provide a new way of thinking about such vital problems as diversification of risk and propagation of crises through financial markets due to contagion phenomena, among others. Readership: Advanced students in economics, finance, financial econometrics; risk managers; actuaries; finance professionals; business analysts; banking regulators. 304pp 978-981-4689-79-3
Apr 2017 US$118 £98
NOTABLE BACKLIST Elementary Stochastic Calculus, with Finance in View Thomas Mikosch (University of Groningen)
WORLD SCIENTIFIC
MATHEMATICAL LOGIC & FOUNDATIONS Computability, Forcing and Descriptive Set Theory edited by Douglas Cenzer (University of Florida, USA), Christopher Porter (Drake University, USA) & Jindrich Zapletal (University of Florida, USA) This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Prominent contributors include George Barmpalias (Chinese Acad. Sci. and U. Wellington, NZ), Andreas Blass (Fellow of AMS, U. Michigan), Andy LewisPye (London School of Economics) Readership: Graduate students and researchers interested in set theory and computability. 200pp 978-981-3228-22-1
Jan 2019 US$98
£86
Proof and Computation Digitization in Mathematics, Computer Science and Philosophy edited by Klaus Mainzer (Technische Universität München, Germany), Peter Schuster (Università d e g l i S t u d i d i Ve r o n a , I t a l y ) & H e l m u t Schwichtenberg (Ludwig-Maximilians-Universität München, Germany) This book introduces modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. The book gives a scholarly account of recent developments and emerging branches of the fields. Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science. 300pp 978-981-3270-93-0
Jul 2018 US$98
£85
Mathematics Almost Everywhere
How to Measure the Infinite Mathematics with Infinite and Infinitesimal Numbers by Vieri Benci & Mauro Di Nasso (Universitàdi Pisa, Italy)
edited by Alexandra Bellow (Northwestern University, USA), Cristian S Calude (University of Auckland, New Zealand) & Tudor Zamfirescu (Technical University of Dortmund, Germany & “Simion Stoilow” Mathematical Institute of the Romanian Academy)
This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle's principle: “The whole is larger than its parts.” It also contains an original introduction to nonstandard analysis. The basic principles are presented by using the ordinary language of mathematics. This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.
This volume intends to emphasize the mathematical fields in which Solomon Marcus worked, and demonstrate — as he also did — the interconnection between them. The authors who contribute to this volume are well-known experts in their fields. Most of them knew Solomon Marcus well, some even owed him for his decisive impulses for their careers and general development.The book will attract readers who would like to diversify their own knowledge or find unexpected connections with other topics.
Readership: Advanced undergraduate and graduate students in mathematics and philosophy. 344pp 978-981-283-637-3
Oct 2018 US$94
£78
Logical Properties of Natural Language by Edward L Keenan (UCLA) This book synthesizes the logical expressive power of natural language. It extends the tools and concepts of model theory as used in predicate logic to the study of natural language semantics. It focuses on boolean structure, generalized quantification, covering some cases of anaphora. Different categories are modeled by non-isomorphic boolean lattices. Of empirical linguistic interest is the expressibility of many natural classes of quantifiers defined in terms of their logical properties. Some of these correlate with classes used syntactically in generative grammar. In other cases we find general constraints on possible quantifier denotations in natural language. Readership: Researchers in mathematical logic and artificial intelligence. Aug 2018 US$88
252pp 978-981-3237-30-8
Jun 2018 US$98
£86
The Digital and the Real World Computational Foundations of Mathematics, Science, Technology, and Philosophy by Klaus Mainzer (Technical University of Munich, Germany)
Eliminating the Universe
184pp 978-981-4719-83-4
Readership: Graduate students and researchers.
£75
This book studies the foundations of mathematics, computer science, and philosophy, to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT). Readership: Undergraduate and graduate students, scientists and readers who are interested in foundational, interdisciplinary, and philosophical questions of mathematics, computer science, and science in general. 472pp 978-981-3225-48-0
Jan 2018 US$158
£139
21
Mathematics 2019 Logic in Wonderland
MATHEMATICAL PHYSICS & RELATED TOPICS
An Introduction to Logic through Reading Alice in Wonderland by Nitsa Movshovitz-Hadar (Technion - Israel Institute of Technology, Israel), Atara Shriki (Oranim Academic College of Education, Israel)
Quantum Field Theory, Quantum Physics and Micro-Macro Duality by Izumi Ojima (Research Origin for Dressed Photon, Japan), Kazuya Okamura (Nagoya University, Japan) & Hayato Saigo (Nagahama Institute of Bio-Science and Technology, Japan)
Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find it difficult, boring and technical. Our approach motivates students through reading the classic Alice's Adventures in Wonderland, written by Lewis Caroll, one of the best storytellers and also a logician. There are student’s handouts and exemplary solutions, along with background in elementary logic and pedagogical comments.
According to the fundamental concept "adjunctions" in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.
Readership: College and high school mathematics teachers and students. Student’s Workbook 200pp 978-981-3208-67-4(pbk)
Aug 2018 US$34
Teacher’s Guidebook 300pp 978-981-3208-62-9 978-981-3209-81-7(pbk)
Aug 2018 US$98 US$48
Readership: Graduate students and researchers in quantum theory, mathematical physics, neural networks, pattern recognition. 300pp 978-981-3238-36-7
£28
£86
Selecta III Professor Sinai’s Selected Papers edited by Yakov G Sinai (Princeton)
£81 £40
Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 33
Sets and Computations
edited by Sy-David Friedman (Universität Wien, Austria), Dilip Raghavan & Yue Yang (NUS, Singapore) This book reports important and recent interactions between the fields of Set Theory and Computation Theory. It includes new research areas of computational complexity in set theory, randomness beyond the hyperarithmetic, powerful extensions of Goodstein's theorem and the capturing of large fragments of set theory via elementary-recursive structures. Further chapters are concerned with central topics within Set Theory, including cardinal characteristics, Fraïssé limits, the set-generic multiverse and the study of ideals. Also Computation Theory, which includes computable group theory and measure-theoretic aspects of Hilbert's Tenth Problem. Readership: Researchers and graduate students in mathematical logic, set theory and recursion theory. 280pp 978-981-3223-51-6
May 2019 US$98
Aug 2017 US$108
£95
22
NOTABLE BACKLIST Forcing for Mathematicians Nik Weaver (Washington University in St. Louis, USA) Saturated Model Theory (2nd Edition) Gerald E Sacks (Harvard University, USA)
Yakov G Sinai is one of the most important and influential mathematicians and physicists. He won the Wolf Prize for Mathematics in 1997 and Nemmers Prize in 2002. This volume contain several papers, some papers related to probability theory and statistical physics, papers on Anderson localization for some classes of Schroedinger equations and the papers on Interval Exchange Transformations, joint with C Ulcigrai and A Bufetov. Of notable mention are the paper on the distribution of the first positive sums in the case of independent random variables which was the author's first publication and the joint paper with V Yakhot which had several applications among hydrodynamical community. Readership: Graduate students and researchers in mathematics and physics. 500pp 978-981-3208-87-2
May 2019 US$128
£106
Quantized Number Theory, Fractal Strings and the Riemann Hypothesis From Spectral Operators to Phase Transitions and Universality by Hafedh Herichi (Santa Monica College, USA), Michel L Lapidus (University of California, Riverside, USA) Studying the relationship between the geometry, arithmetic and spectra of fractals has been of significant interest in contemporary mathematics. The authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. They use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics. This book provides a rigorous framework within which the corresponding question "Can one obtain information about the geometry of a fractal string, given its spectrum?". Readership: Researchers in fractal geometry, complex analysis, harmonic analysis, operator theory, spectral theory, mathematical physics, algebra and number theory. 400pp 978-981-3230-79-8
Apr 2019 US$128
£113
WORLD SCIENTIFIC
Quantum Systems and Finite Approximations
Maxwell Equation
Archimedean and Non-Archimedean by Trond Digernes (The Norwegian University of Science and Technology (NTNU), Norway), Erik Makino Bakken (Norwegian Defence Research Establishment)
Inverse Scattering in Electromagnetism by Hiroshi Isozaki (University of Tsukuba, Japan)
In this volume various aspects of non-Archimedean quantum systems are discussed, such as spectral properties of their Schrödinger operators, and their ability to be approximated by finite systems. Non-Archimedean stochastic methods are also discussed. Readership: Researchers in mathematical physics, quantum physics and quantum mechanics. 150pp 978-981-4713-49-8
Feb 2019 US$90
£75
Readership: Undergraduates, graduate students, researchers in inverse scattering theory for electromagnetism.
Bestselling Author
Elementary Mechanics (In 2 Volumes) by John G Papastavridis (Georgia Institute of Technology, USA) This is a comprehensive and state-of-the-art compendium of NewtonianEulerian (momentum/vectorial) mechanics, from an advanced and unified viewpoint. The presentation is eminently readable and inclusive: the style is informal and the mathematics has been kept to the simplest necessary for a work of this level and scope. As such, the book continues, renovates, and expands the grand tradition laid by such educational 20th century “elementary mechanics” classics. No volume of such scope [comprehensiveness + level + readability (multiple complementary notations, clear figures) + extensive list of references / bibliography] has ever been written, in any language. Readership: Teachers, and Researchers in most areas of engineering (especially aerospace, mechanical, and engineering mechanics), physics, and applied mathematics. 1680pp 978-981-4603-04-1(Set)
This book establishes a firm basis for the inverse scattering theory for the Maxwell equation from the theoretical viewpoint, providing the readers with sufficient knowledge to understand the frontier of this field. It provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.
Feb 2019 US$384
£319
300pp 978-981-3232-69-3
Advanced Topics by Michela Petrini (University Pierre and Marie Curie, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy)
£104
The Linearised Dam-Break Problem by D J Needham, S McGovern & J A Leach (University of Birmingham, UK) The monograph addresses a canonical problem in linear water wave theory, through the developmentdetailed, asymptotic analysis of contour integrals in the complex plane. It is anticipated that the methodology developed in the monograph will have applications to many associated linear wave evolution problems, to which the reader may adapt the approach developed in the monograph. The approach adopted in the monograph is novel, and there are no existing publications for comparison. Readership: Graduate students and researchers. 168pp 978-981-3223-87-5
A Guide to Mathematical Methods for Physicists
Sep 2018 US$118
Sep 2018 US$88
£77
Fractional Quantum Mechanics by Nick Laskin (TopQuark Inc., Canada)
This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses, from Electromagnetism to Quantum Mechanics. The different arguments are organised into Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics. The book shows how seemingly different mathematical tools are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.
Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework.
Readership: Advanced undergraduate and graduate students, professionals in the field.
Readership: Graduate students and researches in quantum theory, stochastic processes, statistical mechanics, special functions.
276pp 978-1-78634-548-6
360pp 978-981-3223-79-0
Sep 2018 US$88
£77
Jul 2018 US$118
£104
23
Mathematics 2019 Ludwig Faddeev Memorial Volume
Bestselling Author
A Life in Mathematical Physics edited by Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University, Sweden & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore) & Leon A Takhtajan (Stony Brook University, USA & Euler International Mathematical Institute, Russia)
Noncommutative Cosmology by Matilde Marcolli (California Institute of Technology, USA & Perimeter Institute for Theoretical Physics & University of Toronto, Canada)
Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medallist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang. Readership: Students, researchers and academics in mathematical physics. 636pp 978-981-3233-76-8
Jul 2018 US$128
£113
Langevin and Fokker – Planck Equations and their Generalizations
Readership: Graduate students and researchers in mathematical physics and theoretical cosmology. 292pp 978-981-3202-83-2 978-981-3202-84-9(pbk)
Feb 2018 US$98 US$48
£86 £42
Resonance and Bifurcation to Chaos in Pendulum
Descriptions and Solutions by Sau Fa Kwok (State University of Maringá, Brazil) This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. Topics and methods of solutions are presented and discussed in details on the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed. Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.
by Albert C J Luo (Southern Illinois University Edwardsville, USA) This book discusses Hamiltonian chaos and periodic motions to chaos in pendulums. This book first detects and discovers chaos in resonant layers and bifurcation trees of periodic motions to chaos in pendulum in the comprehensive fashion, which is a base to understand the behaviors of nonlinear dynamical systems, as a results of Hamiltonian chaos in the resonant layers and bifurcation trees of periodic motions to chaos. The bifurcation trees of travelable and non-travelable periodic motions to chaos will be presented through the periodically forced pendulum.
Readership: Advanced undergraduate and graduate students in mathematical physics and statistical physics;
Readership: Researchers and academics in the field of mathematics.
208pp 978-981-3228-40-5
252pp 978-981-3231-67-2
May 2018 US$98
£86
by John Baez (UC Riverside & Centre for Quantum Technologies, Singapore), Jacob D Biamonte (Skolkovo Institute of Science and Technology, Russia)
Readership: Graduate students and researchers in the field of quantum and mathematical physics. Apr 2018 US$98
£86
An Introduction to Mathematical Analysis of Quantum Fields by Asao Arai (Hokkaido University, Japan)
We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.
276pp 978-981-3226-93-7
Feb 2018 US$98
Analysis on Fock Spaces and Mathematical Theory of Quantum Fields
Quantum Techniques in Stochastic Mechanics
24
Modified gravity models play an important role in contemporary theoretical cosmology. This book provides a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. It discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.
£86
Key Features: • Detailed description of the theory of including full Fock spaces, boson Fock spaces, fermion Fock spaces and boson-fermion Fock spaces • New topics are included, such as the theory of infinite dimensional Dirac operators and an abstract supersymmetric quantum field theory. • Detailed treatment of mathematical constructions of free quantum field models as well as a simple interacting model Readership: Advanced undergraduate and graduate students, researchers in mathematics or physics. 892pp 978-981-3207-11-0
Feb 2018 US$188
£165
WORLD SCIENTIFIC
A Mathematics Primer for Physics Students by Andrew E Blechman (Wayne State University, USA)
This primer is meant to be both an introduction and summary of many mathematical methods that are needed to solve problems in advanced undergraduate or early graduate physics courses. The material is presented through example to demonstrate how it would be useful in the context of solving physics problems, with minimal use of formalism or proof. Topics include linear algebra; vector and tensor analysis; geometric tools such as metrics and curvature; mathematical groups, with emphasis on representation theory and Lie groups/algebras; complex calculus; integral transforms and differential equations; and an introduction to algebraic topology. An appendix is also included that summarizes various mathematical results which are useful to have in one place.
Readership: Undergraduate and graduate students, researchers looking to refresh their memory on some of the concepts. 300pp 978-981-3238-01-5
May 2019 US$78 £69
Fractional Calculus (3rd Edition) An Introduction for Physicists by Richard Herrmann (GigaHedron, Germany) The book presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute in the development of this exciting research area. This new, extended edition includes additional chapters about numerical solution of the fractional Schrödinger equation, self-similarity and the geometric interpretation of non-isotropic fractional differential operators. Motivated by the positive response, new exercises with elaborated solutions are added, which significantly support a deeper understanding of the general aspects of the theory. Readership: Students, researchers as well as lecturers of various physics courses. 636pp 978-981-3274-57-0
Sep 2018 US$148 £130
Theory of Groups and Symmetries Finite Groups, Lie Groups, and Lie Algebras by Alexey P Isaev (Joint Institute for Nuclear Research, Dubna & M V Lomonosov Moscow State University, Russia), Valery A Rubakov (Russian Academy of Sciences, Moscow & M V Lomonosov Moscow State University, Russia) The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence. Readership: Graduate students and researchers in theoretical physics and mathematical physics. 476pp 978-981-3236-85-1
May 2018 US$138 £121
Mathematics for Physics An Illustrated Handbook by Adam Marsh
The approach taken by this book differs from other titles in that it is intuitive and visual yet also mathematically rigorous, allowing concise coverage of a large breadth of material and providing a cross-subject synthesis while at the same time serving as a useful reference. It is also unique in that it can be used in three ways: as the basis for a course, as a supporting text for related courses, and as a reference. The treatments of Riemannian geometry, Clifford algebras, and fiber bundles are particularly notable, including detailed figures and geometric viewpoints that would seem to be novel to the literature.
Readership: Students in mathematics and physics who want to explore a level deeper into actual mathematical content. 300pp 978-981-3233-91-1
Jan 2018 US$98 £86
A Half-Century of Physical Asymptotics and Other Diversions
Selected Works by Michael Berry by Michael Berry (University of Bristol, UK) "Comments made on the philosophy and conduct of science are valuable and have been influenced strongly by academic contacts at the University of Bristol, and indeed worldwide ... The variety of papers and their intended readerships make much of this volume appropriate and enjoyable for general readers, as well as for specialists." Contemporary Physics 724pp 978-981-3221-19-2 978-981-3221-20-8(pbk)
Sep 2017 US$118 £104 US$75 £62
A Guide to Mathematical Methods for Physicists
With Problems and Solutions by Michela Petrini (Université Pierre et Marie Curie, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy) This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions.
Readership: Students of undergraduate mathematics and postgraduate students of physics or engineering. 340pp 978-1-78634-343-7 978-1-78634-344-4(pbk)
Sep 2017 US$98 £81 US$48 £40
25
Mathematics 2019 Scattering by Obstacles and Potentials
The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields
by Alexander G Ramm (Kansas State University, USA) This book gives uniqueness theorems for inverse scattering problems when the data are non-overdetermined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem. This book serves as an introduction to the subject for an audience with various interests: mathematicians, physicists, and engineers interested in the theory. Materials are presented in a simple way and technically difficult proofs are avoided. Readership: Researchers and graduate students in mathematics, computational mathematics, physics, acoustics, mechanical engineering. 620pp 978-981-3220-96-6
Jan 2018 US$178
£157
Emergence of the Quantum from the Classical
This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields. It is the first mathematical result on the global nonlinear stability of matter fields in general relativity. We formulate the initial value problem when the initial data set is a perturbation of an asymptotically flat, spacelike hypersurface in Minkowski spacetime. We then establish the existence of an Einstein development associated with this initial data set, which is proven to be an asymptotically flat and future geodesically complete spacetime. The book provides a framework to treat other matter fields such as the massive Yang-Mills fields which are of particular importance in physics Readership: Graduate students and researchers interested in mathematical general relativity. 188pp 978-981-3230-85-9
Mathematical Aspects of Quantum Processes by Maurice de Gosson (University of Vienna, Austria) This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.
Oct 2017 US$78
£69
Strong Uniformity and Large Dynamical Systems by Jozsef Beck (Rutgers University, USA)
Readership: Undergraduate and graduate students of mathematics and physics.
It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems. It takes the readers from uniform distribution to the time-evolution of large off-equilibrium systems, and discusses the general models as well as results about randomness and stability in equilibrium.
308pp 978-1-78634-414-4
Readership: Researchers in dynamical systems and ergodic theory and statistical physics.
Jan 2018 US$118
£104
Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications by Willi-Hans Steeb (University of Johannesburg, South Africa)
26
by Philippe G LeFloch (Université Pierre-et-Marie Curie, France), Yue Ma (Xi'an Jiaotong University, China)
This book presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrixvalued differential forms, Maurer – Cartan form, and the Lie derivative are covered. Readers will find useful applications to special and general relativity, Yang – Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included. Readership: Graduate students, lecturers and researchers in differential geometry and its applications. 296pp Dec 2017 978-981-3230-82-8 US$78 £69 978-981-3232-96-9(pbk) US$48 £42
460pp 978-981-4740-74-6
Sep 2017 US$158
£139
The Wigner Transform by Maurice de Gosson (University of Vienna, Austria) This book provides an in-depth and rigorous study of the Wigner transform and its variants. They are presented first within a context of a general mathematical framework, and then through applications to quantum mechanics. The Wigner transform was introduced by Eugene Wigner in 1932 as a probability quasi-distribution which allows expression of quantum mechanical expectation values in the same form as the averages of classical statistical mechanics. It is also used in signal processing as a transform in time-frequency analysis, closely related to the windowed Gabor transform. Readership: Advanced-level students and professors in mathematics and mathematical physics; research mathematicians, engineers and chemists. 252pp 978-1-78634-308-6 978-1-78634-309-3(pbk)
May 2017 US$118 US$58
£98 £48
WORLD SCIENTIFIC
Lecture Notes in Topics in Path Integrals and String Representations
MATHEMATICS EDUCATION
by Luiz C L Botelho (Federal Fluminense University, Brazil)
School Mathematics Textbooks in China
"All are every interesting topics treated with a high level of mathematical sophistication. One of the very useful tricks the author repeatedly resorts to is the introduction of one-parameter families of operators interpolating between two operators which appear naturally in the formalism. From this one-parameter family a differential equation for the determinant (or ratio of determinants) or for correlation functions is derived, which can then be solved. This is a very simple, elegant and powerful technique." Mathematical Reviews Clippings
Comparative Studies and Beyond edited by Jianpan Wang (East China Normal University, China)
Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.
Readership: Applied mathematicians, mathematical and theoretical physicists.
Readership: Researchers in mathematics education.
244pp 978-981-3143-46-3
350pp 978-981-4713-93-1 978-981-4713-94-8(pbk)
Apr 2017 US$98
£81
Apr 2019 US$110 US$58
£91 £48
LTCC Advanced Mathematics Series - Vol 6
Analysis and Mathematical Physics
Integrating Computers and Problem Posing in Mathematics Teacher Education
edited by Shaun Bullett (Queen Mary University of London, UK), Tom Fearn & Frank Smith (University College London, UK)
by Sergei Abramovich (State University of New York at Potsdam, USA)
"Overall this is a very nicely and uniformly written book ... the book’s presentation requires from the reader a fairly high level of mathematical sophistication. This book would be an excellent choice for a lecturer wishing to teach selected branches of mathematical physics." Pure and Applied Geophysics Readership: Researchers, graduate or PhD mathematical-science students 248pp 978-1-78634-098-6
Feb 2017 US$98
£81
The Principles of Newtonian and Quantum Mechanics (2nd Edition)
Readership: Mathematics teachers. 240pp 978-981-3273-91-7
The Need for Planck’s Constant, h by Maurice A de Gosson (University of Vienna, Austria)
Feb 2019 US$98
£85
The Mathematics Coach Handbook
This book deals with foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. Topics have been revised and augmented in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed. The mathematical tools developed are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of "metatron" is introduced, in connection with the Bohmian theory of motion. Readership: Reserchers and graduate students in mathematical physics and physics. 424pp 978-981-3200-96-8
This book shares ideas about integrating mathematical problem posing with the use of computing technology in the context of K-12 mathematics teacher preparation. To connect theory and practice of mathematical problem posing in the digital era, the book includes examples of problems posed by teacher candidates enrolled in different technology-rich mathematics education courses. These examples are analyzed through the lenses of the proposed theory. It shows how technology can be used to reformulate rather advanced problems from the traditional problem-solving curriculum. The goal of reformulation of such problems is to make them compatible with the modern-day emphasis on democratizing mathematics education, and to find the right balance between positive and negative affordances of technology.
Jan 2017 US$158
by Alfred S Posamentier (Long Island University, USA), Stephen Krulik (Temple University, USA) Many schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.
£131 Readership: General public, math coaches, math teachers, school leaders.
NOTABLE BACKLIST Feynman Motives Matilde Marcolli (California Institute of Technology, USA)
200pp 978-981-3271-70-8
Dec 2018 US$88
£75
27
Mathematics 2019 Theoretical and Practical Pedagogy of Mathematical Music Theory
Series on Mathematics Education
Music for Mathematics and Mathematics for Musicians, From School to Postgraduate Levels edited by Mariana Montiel (Georgia State University, USA), Francisco Gómez (Universidad Politécnica de Madrid, Spain)
Mathematics and its Teaching in the Muslim States
edited by Bruce R Vogeli (Columbia University, USA), Mohamed El Tom (Khartoum Technical University, Sudan)
New general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain. This volume shares the motivation and content of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials. Readership: Students, teachers, researchers. Also a library reference. 250pp 978-981-3228-34-4
Nov 2018 US$108
£95
Mathematics Instruction: Goals, Tasks and Activities edited by Pee Choon Toh & Boon Liang Chua (NTU, Singapore) This book comprises 14 chapters written by renowned researchers in mathematics education. The chapters offer mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks. Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students' learning of mathematics. Readership: Graduate students, researchers, and teachers in mathematics. 288pp 978-981-3271-66-1
Jul 2018 US$98
£85
Empowering Mathematics Learners edited by Berinderjeet Kaur & Ngan Hoe Lee (NTU, Singapore)
28
This book contributes towards the literature in the field of mathematics education, specifically on aspects of empowering learners of mathematics. The book, comprising eighteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to empower learners of mathematics. The chapters in the book can be classified into four sections. The four sections focus on how learners could be empowered in their learning, cognitive and affective processes, through mathematical content, purposefully designed mathematical tasks, whilst developing 21st century competencies. Readership: Graduate students, researchers, and teachers in mathematics. 396pp 978-981-3224-21-6
Jun 2017 US$78
£69
This anthology reviews the history, current states, and plans for the development of mathematics education in the Muslim States in Africa, the Middle East, and Asia. There is an introduction by Ahmed Djebbar, the most prominent contemporary scholar of Muslim mathematics. The chapters are written by respective national experts in mathematics education. Readership: Researchers, policy makers, politicians and general public interested in mathematics education in Muslim states. 300pp 978-981-3146-77-8
Feb 2019 US$128
£106
Mathematics and its Teaching in the Asia-Pacific Region edited by John Mack (Sydney University, Australia), Bruce Vogeli (Columbia University, USA) This book provides the global mathematics education community with information on the recent and current status of the teaching of mathematics in a group of island nations in the Asia-Pacific region. Sri Lanka, Indonesia, Japan, the Philippines, Australia, Papua New Guinea, New Zealand, and twelve nations in the South Pacific Ocean. The lead chapter authors are well-known and respected professionals within their own nations and among the wider professional community. Readership: Researchers, policy makers, politicians and general public interested in mathematics education in Asia-Pacific region. 320pp 978-981-3272-12-5
Oct 2018 US$148 £130
K-12 Mathematics Education in Israel Issues and Innovations edited by Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology, Israel) The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of topics covering issues such as raising and maintaining motivation, search for excellence, treatment of difficulties, teacher education, language issues, minorities issues, curriculum changes over the first 70 years of the state of Israel, and many more. This includes aspects of research and practice into the teaching and learning of mathematics, innovation, developments, policy, achievements, and implementation with some international comparison as well. Readership: General public, students, mathematics educators, researchers, educational policy makers. 460pp 978-981-3231-18-4
Apr 2018 US$162
£145
WORLD SCIENTIFIC
Problem Solving in Mathematics and Beyond
A Problem Solving Approach to Supporting Mathematics Instruction in Elementary School A Guide for Parents, Teachers, and Students by Sheldon Rothman (Long Island University Post, USA) The book takes a problem-solving approach to learning elementary school mathematics, and develops many concepts using patterns established by examples. It includes both standard and non-standard problems, examples, and exercises, some of which are quite challenging while others are mainly for reinforcement. The book is written in a relaxed style and includes quotations about mathematics, very brief biographies of the mathematicians who made these quotes — each of which includes a fun fact about the person. Interesting and often surprising facts on the applications of mathematics are also included.
Jun 2019 US$58 US$38
£48 £32
Tools to Help Your Children Learn Math Strategies, Curiosities, and Stories to Make Math Fun for Parents and Children by Alfred S Posamentier, Gavrielle Levine, Aaron Lieberman (Long Island University, USA) & Danielle Sauro Parents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject. The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom. Readership: Parents and general public. 300pp 978-981-3271-42-5 978-981-3272-47-7(pbk)
Dec 2018 US$88 US$38
£75 £35
Volume 1 268pp Dec 2015 978-981-4699-90-7 US$78 978-981-4699-91-4(pbk) US$38
£65 £32
Volume 2 304pp May 2017 978-981-3108-92-9 US$98 978-981-3108-93-6(pbk) US$48
£81 £40
Diversifying Mathematics Teaching Advanced Educational Content and Methods for Prospective Elementary Teachers by Sergei Abramovich (State University of New York at Potsdam, USA) "Abramovich’s book is unique in terms of variety ... a strength of this book is that it includes many different content areas. This book exemplifies high quality teaching of teachers. It is the epitome of ‘practice what you preach, ’ and would be an excellent resource for pre-service and in-service teachers, as well as graduate students who are studying mathematics teaching from a theoretical perspective."
Readership: Mathematics teachers, practicing teachers of elementary mathematics.
A Reference from Birth through Adulthood by Terri Germain-Williams (Mercy College, USA) This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill. Readership: Teachers and parents for the children. Jul 2017 US$58 US$24
This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.
Prof Susanne Strachota (University of Wisconsin – Madison, USA)
Teaching Children to Love Problem Solving
140pp 978-981-3209-82-4 978-981-3208-79-7(pbk)
by Raz Kupferman (The Hebrew University, Israel)
Readership: Elementary school teachers; parents of elementary school children
Readership: Elementary school teachers and parents. 250pp 978-981-3274-81-5 978-981-3275-95-9
Elementary School Mathematics for Parents and Teachers
£48 £20
284pp 978-981-3206-87-8 978-981-3208-90-2(pbk)
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Apr 2017 US$98 US$48
£81 £40
NOTABLE BACKLIST
Motivating Mathematics David Wells (Fox & Howard Literary Agency, UK) How Chinese Learn Mathematics Fan Lianghuo (NTU, Singapore), Wong Ngai-Ying (The Chinese University of Hong Kong), Cai Jinfa (The University of Delaware, USA), Li Shiqi (East China Normal University) Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies Alfred S Posamentier (Mercy College New York, USA), Stephen Krulik (Temple University, USA) Mathematics Problem-Solving Challenges for Secondary School Students and Beyond David Linker & Alan Sultan (City University of New York, USA)
29
Mathematics 2019
NUMERICAL ANALYSIS & APPROXIMATION High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion Algorithm and Models for Anomalous Diffusion by Weihua Deng & Zhijiang Zhang (Lanzhou University, China) The book first introduces 'anomalous diffusion' from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker – Planck equation, the Feymann – Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.
A New Method of Constructing Brakke’s Motion by Kazuhiro Horihata (Tohoku University, Japan) The paper entitled "Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature" by T Ilmanen constructs Brakke's motion from Allen-Cahn equation, which is one of the measure theoretic approaches to motion by mean curvature. This book proposes a new idea that involves a new equation of the Allen-Cahn type to construct Brakke's motion and explains how to construct it through Ilmanen's approach as easily as possible. Readership: Researchers in calculus of variations and optimal control, PDE, ODE, integral equations, differential geometry.
Readership: Graduate students and researchers in Numerical Analysis, Integral & Differential Equations, Statistical Physics, Computational Physics.
400pp 978-981-3228-58-0
350pp 978-981-3142-20-6
Optimization in an ACORN
Sep 2018 US$128
£106
Explorations in Numerical Analysis by James V Lambers & Amber C Sumner (The University of Southern Mississippi, USA) This textbook provides the reader an experience that is more conducive to arousing interest in numerical analysis, thereby enhancing understanding. This is to be accomplished by giving the reader a more hands-on experience with the material than existing textbooks through MATLAB exercises. These exercises augment the text with visualization and experimentation in order to involve the reader in the derivation, analysis, and implementation of each algorithm. Readers will understand through a combination of exposition about the evolution of problem-solving techniques and the theoretical results, and coding exercises and demonstrations to illustrate this evolution. Readership: Advanced undergraduate and graduate students. 500pp 978-981-3209-96-1 978-981-3209-97-8(pbk)
Sep 2018 US$118 US$68
£98 £56
Elements of Numerical Analysis with Mathematica by John Loustau (Hunter College, City University of New York, USA)
30
OPTIMIZATION & CONTROL
Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. It includes Monte Carlo method, FDM and numerical ODE methods. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology. Readership: Undergraduate and master students. 164pp 978-981-3224-15-5 978-981-3222-71-7(pbk)
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Nov 2017 US$68 US$32
NOTABLE BACKLIST
Meshfree Approximation Methods with Matlab Gregory E Fasshauer (Illinois Institute of Technology, USA)
£121
With Applications to Deep Learning by Martin J Lee (Stanford), Ken Tsang (United International College, China) A simple algorithm for solving a set of nonlinear equations by matrix algebra has been discovered recently — first by transforming them into an equivalent matrix equation and then finding the solution analytically in terms of the inverse matrix of this equation. With this newly developed ACORN (Adaptive Constrained Optimal Robust Nonlinear) algorithm, it is possible to minimize the objective function [constructed from the functions in the nonlinear set of equations] without computing its derivatives. This book presents the details of ACORN algorithm and how it is used to solve large scale nonlinear equations with an innovative approach ACORN Magic [minimization algorithms gathered in a cloud]. Readership: Students and researchers of optimization. 200pp 978-981-3271-51-7
Jan 2019 US$58
£50
Optimization Theory A Concise Introduction by Jiongmin Yong (University of Central Florida, USA) This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush – Kuhn – Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. The theoretic results and examples have been balanced. All the major theorems are companioned by its proof and some examples. This enables readers to proceed to learn how to use the theorems from the examples. Readership: Undergraduates; graduates and researchers in optimization theory. 236pp 978-981-3237-64-3
£60 £28
Aug 2019 US$138
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Jul 2018 US$78
£69
NOTABLE BACKLIST
Introduction to the Calculus of Variations (3rd Edition) Bernard Dacorogna (Ecole Polytechnique Fédérale Lausanne, Switzerland) Moments, Positive Polynomials and Their Applications Jean Bernard Lasserre (LAAS-CNRS & Institute of Mathematics, University of Toulouse, France)
WORLD SCIENTIFIC
PROBABILITY & STATISTICS
by Ingram Olkin (Stanford), Leon J Gleser (University of Pittsburgh, USA) & Cyrus Derman (Columbia University, USA)
Robust Mixed Model Analysis by Jiming Jiang (UC Davis) Mixed-effects models have found broad applications in various fields. As a result, the interest in learning and using these models is rapidly growing. This research monograph provides a comprehensive account of methods of mixed model analysis that are robust in various aspects, such as violation of model assumptions, or to outliers. It covers a wide range of mixed-effects models, including linear mixed models, generalized linear mixed models, semi-parametric and non-parametric mixed models. It considers different aspects of mixed model analysis, ranging from estimation to tests, and to prediction and model selection. Readership: Graduate students and researchers in statistics and biostatistics. And also those who routinely use mixed-effects models in the fields of genetics, medicine, agriculture, education, and surveys. 220pp 978-981-4733-83-0
Aug 2019 US$106
£88
Introduction to Stochastic Processes by Mu-Fa Chen & Yong-Hua Mao (Beijing Normal University, China) This book introduces the elements of stochastic processes in a rather concise manner — Markov chains and stochastic analysis. Readers are lead directly to the core of the topics, and further details are collated in a section containing abundant exercises and more materials for further reading and studying. In Markov chains, the core is the ergodicity. By using the minimal non-negative solution method, we deal with the recurrence and various ergodicity. In stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. This volume features modern probability theory that is used in the non-random fields, such as MCMC, convex geometry and number theory. Readership: Advanced undergraduate and graduate students in stochastic processes. 280pp 978-981-4740-30-2
Mar 2019 US$78
£65
Multifractional Stochastic Fields
In order to sharply determine path behavior of Multifractional and Anisotropic Fields, a wavelet strategy, which can be considered to be new in the probabilistic framework, has been developed since the end of the 90’s. It is somehow inspired by some rather non-standard methods, related to the fine study of Brownian Motion roughness, through its representation in the Faber – Schauder system. This book presents the motivations behind this wavelet strategy, and to explain how it can be applied to some more or less classical examples of Multifractional and Anisotropic Fields. It discusses some topics concerning them which are not directly related to the wavelet strategy, namely their self-similarity property and statistical inference for them. Readership: Researchers in probability and statistics, real analysis and stochastic analysis. Jan 2019 US$113
This textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data. Readership: Undergraduates in probability models, concepts and applications. 734pp 978-981-3202-03-0 978-981-3202-04-7(pbk)
Sep 2018 US$158 US$78
£131 £65
Random Processes First-Passage and Escape by Jaume Masoliver (University of Barcelona, Spain) Random processes are one of the most powerful tools in the study and understanding of countless phenomena in natural and social sciences. The book is a complete medium-level introduction to the subject. The book is written in a clear and pedagogical manner but with enough rigor and scope that can appeal to both students and researchers. This book is addressed to advanced students and professional researchers in many branches of science where level crossings and extremes appear but with some particular emphasis on some applications in socio-economic systems. Readership: Advanced students, researchers. 350pp 978-981-3225-31-2
Aug 2018 US$128
£113
Estimations and Tests in Change-Point Models
Wavelet Strategies in Multifractional Frameworks by Antoine Ayache (Université Lille 1, France)
250pp 978-981-4525-65-7
Probability Models and Applications (Revised 2nd Edition)
£94
by Odile Pons (INRA, National Institute for Agronomical Research, France) This book provides a detailed exposition of the specific properties of methods of estimation and test in a wide range of models with changes. They include parametric and nonparametric models for samples, series, point processes and diffusion processes, with changes at the threshold of variables or at a time or an index of sampling. It contains many new results and fills a void in statistics literature, where the asymptotic properties of the estimators and test statistics in singular models are not sufficiently developed. Readership: Graduate students and researchers in statistics, governmental laboratories and academia. 304pp 978-981-3231-76-4
Jul 2018 US$118
£104
31
Mathematics 2019 Nonparametric Statistics
Statistical Data Science
Theory and Methods by Jayant V Deshpande, Uttara Naik-Nimbalkar (University of Pune, India) & Isha Dewan (Indian Statistical Institute)
edited by Niall Adams & Edward Cohen (Imperial College London, UK) As an emerging discipline, data science broadly means different things across different areas. Exploring the relationship of data science with statistics, a well-established and principled dataanalytic discipline, this book provides insights about commonalities in approach, and differences in emphasis. Featuring chapters from established authors in both disciplines, the book also presents a number of applications. Readership: Statisticians, mathematicians, computer scientists, data scientists, application users of data science and statistics. 192pp 978-1-78634-539-4
Jun 2018 US$88
£75
Readership: Graduate and senior undergraduate students of statistics. 280pp 978-981-4663-57-1
Dec 2017 US$98
Nonconventional Limit Theorems and Random Dynamics
White Noise Analysis and Quantum Information
by Yeor Hafouta & Yuri Kifer (Hebrew University of Jerusalem, Israel)
edited by Luigi Accardi (Università di Roma Tor Vergata, Italy), Louis H Y Chen (NUS, Singapore), Takeyuki Hida (Nagoya University & Meijo University, Japan), Masanori Ohya (Tokyo University of Science, Japan), Si Si (Aichi Prefectural University, Japan & Yangon University, Myanmar) & Noboru Watanabe (Tokyo University of Science, Japan)
The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such expressions. In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book. Readership: Advanced graduate students and researchers in probability theory, stochastic processes, dynamical systems and ergodic theory. 300pp 978-981-3235-00-7
Jun 2018 US$98
£86
This volume is to pique the interest of many in infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. Readers will find all the exciting contributions by well-known researchers in search of new directions in these fields. Readership: Mathematicians, physicists, biologists, information scientists, advanced undergraduates, and graduate students.
£86
Probability and Random Number A First Guide to Randomness by Hiroshi Sugita (Osaka University, Japan)
32
This book will introduce various types of data encountered in practice and suggest the appropriate nonparametric methods, discuss their properties through null and non-null distributions whenever possible and demonstrate the very minor loss in power and efficiency in the nonparametric method, if any. The book will cover almost all topics of current interest such as bootstrapping, ranked set sampling, techniques for censored data and Bayesian analysis under nonparametric set ups.
This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer. The notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists. Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.
244pp 978-981-3225-45-9
Oct 2017 US$98 £86
Statistics and Experimental Design for Psychologists A Model Comparison Approach by Rory Allen (Goldsmiths, University of London, UK)
Readership: First year university students to professionals.
This is the first textbook for psychologists which combines the model comparison method in statistics with a hands-on guide to computer-based analysis and clear explanations of the links between models, hypotheses and experimental designs. It covers the main statistical methods up to multifactorial and repeated measures, ANOVA and the basic experimental designs associated with them. The online supplementary material extends this coverage to multiple regression, exploratory factor analysis, power calculations and other more advanced topics, and provides screencasts demonstrating the use of programs on a standard statistical package, SPSS.
140pp 978-981-3228-25-2
Readership: Students of undergraduate and graduate level psychology, and academics involved in research.
Dec 2017 US$48 £42
472pp Oct 2017 978-1-78634-064-1 US$110 £91 978-1-78634-065-8(pbk) US$58 £43
WORLD SCIENTIFIC
Inference, Asymptotics, and Applications
Risk Theory
A Heavy Tail Approach by Dimitrios G Konstantinides (University of the Aegean, Greece)
edited by Nancy Reid (University of Toronto, Canada), Torben Martinussen (University of Copenhagen, Denmark)
This book is written to help graduate students and young researchers to enter quickly into the subject of Risk Theory. It can also be used by actuaries and financial practitioners for the optimization of their decisions and further by regulatory authorities for the stabilization of the insurance industry. The topic of extreme claims is especially presented as a crucial feature of the modern ruin probability. Readership: Researchers in probability and statistics, mathematical economics/game theory/operations research. 508pp 978-981-3223-14-1
Sep 2017 US$169
£149
Key Features: • A comprehensive look at a number of important developments in the theory of asymptotic inference • An overview of a career that successfully combined important collaborative work in applied fields with highly advanced mathematical results • Serves as a model of writing style that is concise, exceptionally clear, wide-ranging and inspiring Readership: Graduate students and researchers. 364pp 978-981-3207-87-5
May 2017 US$138
£115
Expect the Unexpected (2nd Edition) A First Course in Biostatistics by Raluca Balan & Gilles Lamothe (University of Ottawa, Canada)
Let Us Use White Noise
This textbook introduces the basic concepts from probability theory and statistics which are needed for statistical analysis of data encountered in the biological and health sciences. No previous study is required. Advanced mathematical tools are kept minimal. The emphasis is put on examples. Probabilistic methods are discussed at length, but the focus is on statistics. This edition contains additional topics such as power, sample size computation and non-parametric methods, and includes a large collection of new problems and answers to odd-numbered problems. Several sections are accompanied by instructions using the programming language R for statistical computing and graphics. Readership: Undergraduates studying probability and statistics, especially in the life and natural sciences. 316pp 978-981-3209-05-3
Jul 2017 US$88
Stochastic Models, Sampling Algorithms, and Applications by Jan-Frederik Mai (XAIA Investment AG, Germany), Matthias Scherer (Technische Universität München, Germany) "The book is essentially self-contained, as the reader interested in copulas from the simulation point of view will find all necessary material in it, including an introduction to copulas if he has never been exposed to them. Both the theoretical and practical frameworks emerge quite clearly from the book. In any case, the rich bibliography contains all the references required for further in-depth analyses of specific issues. I think that the authors did a very good job, filling a gap in the statistical literature and providing a contribution that is going to be particularly helpful to statisticians without a specific background in copulas." Mathematical Reviews Readership: Advanced undergraduate and graduate students, practitioners in financial industry and scientists. Aug 2017 US$118
Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Readership: Researchers in probability theory. May 2017 US$98
232pp 978-981-3220-93-5
£81
Statistical Data Fusion £73
Simulating Copulas (2nd Edition)
356pp 978-981-3149-24-3
edited by T Hida (Nagoya University & Meijo University, Japan), L Streit (University of Bielefeld, Germany & University of Madeira, Portugal)
£98
by Benjamin Kedem (University of Maryland, College Park, USA), Victor De Oliveira (University of Texas at San Antonio, USA) & Michael Sverchkov This book comes up with estimates or decisions based on multiple data sources as opposed to more narrowly defined estimates or decisions based on single data sources. And as the world is awash with data obtained from numerous and varied processes, there is a need for appropriate statistical methods which in general produce improved inference by multiple data sources. The book contains numerous examples useful to practitioners from genomics. Topics range from sensors (radars), to small area estimation of body mass, to the estimation of small tail probabilities, to predictive distributions in time series analysis. Readership: Graduate students, researchers, practitioners of statistics, engineers, scientists. 200pp 978-981-3200-18-0
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Mar 2017 US$98
£81
NOTABLE BACKLIST
Extreme Value Distributions Samuel Kotz (The George Washington University, USA), Saralees Nadarajah (The University of Nottingham, UK)
33
Mathematics 2019
POPULAR & RECREATIONAL MATHEMATICS The Soma Puzzle Book A New Approach to the Classic Pieces by David Goodman, Ilan Garibi The Soma cube is one of the most famous mechanical puzzles in the world. The main challenge is to build a cube or other structures from all seven pieces. The puzzles in this collection use the pieces as building blocks only, and showcases many versatile challenges, from all types of recreational mathematics fields. From the moment we changed the rules — we felt that the sky is the limit! There is something magical and enchanting in those seven pieces that enabled us to find many puzzles and challenges!
In the Search for Beauty by Voldemar Smilga This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. It presents a very clear description of the foundations of Euclidean and non-Euclidean geometry written in simple terms and accessible to any reader with a high school certificate. But besides the mathematics, the book is also devoted to human stories about the people, brilliant mathematicians starting from Pythagoras and terminating with Gauss, Lobachevsky and Klein who first tried to prove the fifth postulate . Readership: All students, historians and researchers interested in mathematics. 350pp 978-981-3274-35-8
Oct 2018 US$78 £70
Readership: Puzzle and riddle lovers. 166pp 978-981-3275-31-7 978-981-3275-94-2
Jun 2019 U S$48 US$28
The Tangram Puzzle Book £40 £25
Venusian Casino Junkets And Other Essays in Mathematics and the Probabilities of Gambling by Leslie M Golden (University of Illinois at Chicago, USA) The perfect coffee table book or gift, this book presents entertaining yet authoritative essays on intriguing concepts in mathematics as well as potentially lucrative essays on blackjack, roulette, and craps. You'll feel your intellect massaged and your funny-bone tickled as you read about such subjects as math literacy, logical errors, matrix cryptology, the Fibonacci sequence, the Golden Rectangle, and the economic cost of stupid laws. You'll be casino-empowered as you learn about lotteries, how dice are loaded, the Magic Circle strategy for roulette, the Golden Diagram system for blackjack, and effective acting techniques to camouflage the fact that you are a card counter at blackjack. Readership: General public. 140pp 978-981-3230-11-8 978-981-3231-41-2(pbk)
Feb 2019 US$50 US$28
£44 £25
Exploring the Diversity of Discoveries and Proofs edited by Ioannis M Vandoulakis (The Hellenic Open University, Greece), Dun Liu (Chinese Academy of Sciences, China) This volume explores how mathematical propositions are discovered, how they are demonstrated in various mathematical cultures — ancient Greece, classical Islam, medieval and modern Europe, India, China, and pre-modern Japan — and how they are shaped in texts and stylistic traditions. Topics of the discussions include the visual and axiomatic modes of reasoning in ancient Greece, algebraic demonstrations in classical Islam, algorithmic procedures in India and China, demonstrations and counter-arguments in mathematical analysis in modern Europe, and reasoning by induction in ancient Greece and pre-modern Japanese mathematics (Wasan). Readership: Undergraduates and graduate students in mathematics/and science; Mathematicians; Historians & Philosophers 600pp 978-981-4689-36-6
Feb 2019 US$113
THE TANGRAM One of the oldest types of dissection puzzles in the world LEARN WHILE PLAYING Play with symmetry puzzles, cover-up puzzles and self-similarity puzzles to increase your skill and mental acuity! NEW PUZZLE DESIGNS The authors utilize a creative twist in this collection and with this slight change to the rules, an entirely new universe of Tangram puzzles and challenges is unleashed to delight the puzzle solver! PROVIDES HOURS OF FUN Puzzles range in difficulty to suit various levels of puzzle enthusiasts. Readership: Puzzle and riddle lovers. 164pp 978-981-3234-00-0 978-981-3235-20-5(pbk)
Jul 2018 US$48 US$28
£40 £25
The Paper Puzzle Book All You Need is Paper! by Ilan Garibi, David Goodman & Yossi Elran "This is a marvellous book. The diversity of possible puzzles that can be given with these very limited resources, which are basically some paper and scissors, is overwhelming, and the challenges are sometimes very tough. Even the two-star problems may be hard for an untrained puzzler."
Navigating across Mathematical Cultures and Times
34
A New Approach to the Classic Pieces by David Goodman, Ilan Garibi
£94
European Mathematical Society Readership: Puzzle and riddle lovers, and origami enthusiasts. 264pp 978-981-3202-40-5 978-981-3202-41-2(pbk)
Mar 2018 US$48 US$28
£42 £25
WORLD SCIENTIFIC
A Lady Mathematician in this Strange Universe: Memoirs
KenKen: Math & Logic Puzzles That Will Make You Smarter!
by Yvonne Choquet – Bruhat (University Pierre et Marie Curie & French Academy of Sciences, France & American Academy of Arts and Sciences, USA)
edited by Robert Fuhrer (KenKen Puzzle LLC, USA)
At once reflective, enlightening and bittersweet, this book allows readers a look into the life and thought processes of an esteemed female academic, and distinguished mathematician and physicist, Yvonne Choquet – Bruhat. She recounts and reflects upon various key events and people from her life. She recalls conversations, collaborations and even arguments shared with many great scientists, including her experiences with Albert Einstein. She also describes her trips around the world, spurred by a passion for travel, beauty and mathematics. Readership: Anyone with an interest in the life of an accomplished mathematician and theoretical physicist. 364pp 978-981-3231-62-7
Feb 2018 US$88
£77
Ernest Irving Freese’s Geometric Transformations
"Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson’s 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public." European Mathematical Society Readership: General public and math puzzle enthusiasts. Jan 2018 US$98 US$38
£81 £32
by Asok Kumar Mallik (Indian Institute of Engineering Science and Technology, Shibpur, India)
The KENKEN Method — Intermediate Book 150 Puzzles and Solutions to Make You Smarter 160pp Apr 2019 978-981-3236-67-7 US$38 £33 978-981-3235-84-7(pbk) US$9 £8 The KENKEN Method — Puzzles for Beginners 150 Puzzles and Solutions to Make You Smarter 128pp Mar 2018 978-981-3232-55-6(pbk) US$9 £8
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NOTABLE BACKLIST
Mathematics, Poetry and Beauty Ron Aharoni
"The book is intended to convey to high school students or other interested laypeople some new and interesting things about numbers. It’s also a useful book for faculty members to have on their shelves; they may find the book a useful collection of interesting information with which to spice up a lecture."
The Magic Garden of George B and Other Logic Puzzles Raymond Smullyan Number Treasury3 Margaret J Kenney & Stanley J Bezuszka (Boston College, USA) The Mathematics That Power Our World: How Is It Made? Joseph Khoury & Gilles Lamothe (University of Ottawa, Canada)
Mathematical Association of America Reviews Readership: Elementary, secondary, high school students and nonmathematicians. Oct 2017 US$48
£42 £12
Problems for Metagrobologists: A Collection of Puzzles with Real Mathematical, Logical or Scientific Content David Singmaster
The Story of Numbers
196pp 978-981-3222-92-2
Readership: Puzzle lovers, math and logic aficionados, and anyone who enjoys exercising their brain on a regular basis or who is interested in improving their thought processes, problem solving, children's growth, and cognitive entertainment. Good for all ages! The KenKen Method — Daily Challenge 365 Puzzles and Solutions to Make You Smarter 340pp Apr 2019 978-981-3236-68-4 US$48 978-981-3235-87-8(pbk) US$14
The Man, the Manuscript, the Magnificent Dissections! by Greg N Frederickson (Purdue University, USA)
432pp 978-981-3220-46-1 978-981-3220-47-8(pbk)
KenKen is the world's fastest growing puzzle since sudoku. It was developed in a Japanese Classroom in 2004 by renowned educator, Tetsuya Miyamoto, and was later introduced internationally as both an adult and educational math and logic puzzle in 2008. Originally intended to improve reasoning, creativity, concentration, and perseverance, this simple yet sophisticated puzzle has since expanded beyond the classroom into a global sensation. KenKen can be found daily in The New York Times and is now available in over 200 publications worldwide. Unlimited KenKen puzzles can be accessed on www.kenkenpuzzle.com and can also be played on mobile devices via the KenKen Classic app. It is supported by the National Council of Teachers of Mathematics (NCTM), the world's largest math education organization, and is used by over 30,000 educators worldwide.
£42
Origamics: Mathematical Explorations Through Paper Folding Kazuo Haga (University of Tsukuba, Japan)
35
Mathematics 2019 Mathematical Olympiad and Competition Resource
Mathematical Olympiad in China (2011 – 2014)
Algebraic Inequalities
Problems and Solutions edited by Bin Xiong (East China Normal University, China), Peng Yee Lee (NTU, Singapore)
In Mathematical Olympiad and Competitions by Ji Chen (Ningbo University, China), Chaocheng Ji (Ningbo High School, China) & translated by Chaocheng Ji (Ningbo High School, China), Huyue Shen & Ruhe Wang (Zhenhai High School, China)
This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some solutions are from the national training team and national team members. Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.
This book serves as a good reference in the field of algebraic inequalities as faced in problems found in a Mathematical Olympiad. It is currently the hot topic in Mathematical Olympiad. It is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality.
368pp 978-981-3143-74-6 978-981-3142-93-0(pbk)
Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.
May 2018 US$78 US$38
£65 £32
200pp 978-1-938134-95-1 978-1-938134-92-0(pbk)
A Central European Olympiad The Mathematical Duel by Robert Geretschläger (BRG Keplerstrasse, Graz, Austria), Józef Kalinowski (University of Silesia in Katowice, Poland), Jaroslav Švrek (Palacký University, Olomouc, Czech Republic)
Readership: General public, students and teachers preparing for olympiadstyle mathematical competitions Jan 2018 US$68 US$38
£60 £33
Insights and Strategies for Mathematical Olympiad and Competitions by Kim Hoo Hang (NTU, Singapore), Haibin Wang (NUS High School of Mathematics and Science, Singapore) Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. Each chapter includes sufficient scaffolding and is comprehensive enough for self-study. Readership: Students, educators and general public interested in geometry and topology. 356pp 978-981-4590-72-3 978-981-4583-74-9(pbk)
Jul 2017 US$58 US$34
In Mathematical Olympiad and Competitions by Desheng Yang & translated by Chunhui Shen (Shanghai Xiangming High School, China) This book covers trigonometric identity, graphs and properties of trigonometric equations, inverse trigonometric functions and trigonometric equations, solutions of triangles, trigonometric substitution and trigonometric inequality; the concept and operation of complex numbers, trigonometric form of a complex number, complex number and equation. The contents are essential for the Mathematical Olympiad. Readership: School students keen to learn more of mathematics; coaches and instructors of mathematical competitions.
Solving Problems in Geometry
36
£56 £32
Trigonometric Functions and Complex Numbers
This book contains the most interesting problems from the first 24 years of the "Mathematical Duel", an annual international mathematics competition. Problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts looking for an intellectual challenge.
292pp 978-981-3226-16-6 978-981-3223-90-5(pbk)
Aug 2018 US$68 US$38
£48 £28
424pp 978-1-938134-76-0 978-1-938134-86-9(pbk
Feb 2017 US$70 US$38
£58 £32
Other resources: • Lecture Notes on Mathematical Olympiad Courses (Junior & Senior Section) • A First Step to Mathematical Olympiad Problems • A Second Step to Mathematical Olympiad Problems • Problems of Number Theory • Graph Theory • Combinatorial Problems • Methods and Techniques for Proving Inequalities • Probability and Expectation • Combinatorial Extremization • Geometric Inequalities • Mathematical Olympiad in China (2003 – 2006, 2007-2008, 2009-2010) • Vietnamese Mathematical Olympiad (1962 – 2009)
WORLD SCIENTIFIC
Proceedings TITLE PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS 2018 (ICM 2018) (IN 4 VOLUMES)
AUTHOR
PUB DATE
ISBN13
US$
£
SIRAKOV BOYAN
25/2/2019
9789813272873
850
750
KIM BYUNGHAN ET AL
31/1/2019
9789813237544
118
104
MATHEMATICAL PHYSICS - PROCEEDINGS OF THE 14TH REGIONAL CONFERENCE
ASLAM MUHAMMAD JAMIL & SAIFULLAH KHALID
11/04/2018
9789813224964
178
157
ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS
MASUDA KAYO, KISHIMOTO TAKSHI, KOJIMA HIDEO, MIYANISHI MASAYOSHI & ZAIDENBERG MIKHAIL
27/12/2017
9784864970488
80
70
HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY: IN HONOUR OF PROFESSOR YUJIRO KAWAMATA'S SIXTIETH BIRTHDAY
OGUISO KEIJI, BIRKAR CAUCHER, ISHII SHIHOKO & TAKAYAMA SHIGEHARU
01/11/2017
9784864970464
84
74
PROCEEDINGS OF THE 14TH AND 15TH ASIAN LOGIC CONFERENCES
CONTEMPORARY PERSPECTIVES IN DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS - PROCEEDINGS OF THE 5TH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS
ADACHI TOSHIAKI ET AL
25/09/2017
9789813220904
128
106
ASUKE TARO, MATSUMOTO SHIGENORI & MITSUMATSU YOSHIHIKO
21/09/2017
9784864970402
97
85
SCHUBERT CALCULUS - OSAKA 2012
NARUSE HIROSHI, IKEDA TAKESHI, MASUDA MIKIYA ET AL
21/09/2017
9784864970389
154
136
MINIMAL MODELS AND EXTREMAL RAYS (KYOTO,2011)
KOLLAR JANOS, FUJINO OSAMU, MUKAI SHIGERU ET AL
21/09/2017
9784864970365
152
134
HYPERBOLIC GEOMETRY AND GEOMETRIC GROUP THEORY
FUJIWARA KOJI, KOJIMA SADAYOSHI & OHSHIKA KEN'ICHI
21/09/2017
9784864970426
63
55
KOTANI MOTOKO ET AL
21/03/2017
9789813144606
148
123
XAVIER
06/01/2017
9789813202733
148
123
AUTHOR
PUB DATE
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138
121
GEOMETRY, DYNAMICS, AND FOLIATIONS 2013: IN HONOR OF STEVEN HURDER AND TAKASHI TSUBOI ON THE OCCASION OF THEIR 60TH BIRTHDAYS
NONCOMMUTATIVE GEOMETRY AND PHYSICS 4 - WORKSHOP ON STRINGS, MEMBRANES AND TOPOLOGICAL FIELD THEORY
BOEDEC GWENN, ELOY CHRISTOPHE & LEONCINI CHAOS, COMPLEXITY AND TRANSPORT - PROCEEDINGS OF THE CCT '15
2017 Frontlist TITLE MATHEMATICAL BIOLOGY AND BIOLOGICAL PHYSICS GEOMETRY, DYNAMICS AND TOPOLOGY OF FOLIATIONS: A FIRST COURSE NON-COMMUTATIVE ANALYSIS POWER OF COMPUTATIONAL THINKING, THE: GAMES, MAGIC AND PUZZLES TO HELP YOU BECOME A COMPUTATIONAL THINKER GENERICITY IN POLYNOMIAL OPTIMIZATION DYNAMICAL AND COMPLEX SYSTEMS TRIGONOMETRY: NOTES, PROBLEMS AND EXERCISES
MONDAINI RUBEM P
11/09/2017
9789813227873
SCARDUA BRUNO & MORALES ROJAS CARLOS ARNOLDO
19/04/2017
9789813207073
98
81
JORGENSEN PALLE ET A
20/03/2017
9789813202115
158
131
MCOWAN PETER WILLIAM & CURZON PAUL
08/03/2017
9781786341839
58
48
VUI HA HUY ET AL
23/02/2017
9781786342218
88
73
BULLETT SHAUN ET AL
23/02/2017
9781786341020
98
81
DELBOURGO ROGER
03/02/2017
9789813203112
28
23
PRASAD KUNCHAM SYAM ET AL
24/01/2017
9789813207356
128
106
BEGINNER'S FURTHER GUIDE TO MATHEMATICAL LOGIC, A
SMULLYAN RAYMOND M
13/01/2017
9789814730990
68
56
STRATEGY GAMES TO ENHANCE PROBLEM-SOLVING ABILITY IN MATHEMATICS
KRULIK STEPHEN ET AL
13/01/2017
9789813146334
48
40
RIBENBOIM PAULO
04/01/2017
9789814725804
75
62
PONS ODILE
04/01/2017
9789813143982
110
91
NEARRINGS, NEARFIELDS AND RELATED TOPICS
PRIME NUMBERS, FRIENDS WHO GIVE PROBLEMS: A TRIALOGUE WITH PAPA PAULO INEQUALITIES IN ANALYSIS AND PROBABILITY (SECOND EDITION)
37
Mathematics 2019
PROCEEDINGS OF THE
WORLD’S LARGEST & MOST PRESTIGIOUS EVENT IN MATHEMATICS
INTERNATIONAL CONGRESS OF MATHEMATICIANS 2018
38
Mar 2019 | 978-981-3272-87-3 (Set) | US$850 £750
WORLD SCIENTIFIC
JOURNALS COLLECTION
MATHEMATICS World Scientific Connecting Great Minds
World Scientific is a leading independent academic publisher providing you with high quality Mathematics content. Our collection of 23 leading Mathematics journals are considered essential content by top institutions globally.
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IMPACT FACTOR: 3.319 OUT OF
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Fastest growing journal within its discipline
39
JOURNALS
Mathematics 2019 Algebra & Related Topics
Algebra Colloquium (AC)
International Journal Of Number Theory (IJNT)
Print ISSN: 1005-3867 http://www.worldscientific.com/ac
Print / Online ISSN: 1793-0421 / 1793-7310 http://www.worldscientific.com/ijnt
This is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.
This journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.
Editor-in-Chief Chongying Dong, University of California, Santa Cruz, USA
Managing Editors Bruce C Berndt, University of Illinois, Urbana-Champaign, USA R Sujatha, The University of British Columbia, Canada Umberto Zannier, Scuola Normale Superiore, Italy
Managing Editor Zhongming Tang, Suzhou University, China
Discrete Mathematics, Algorithms and Applications (DMAA) Print / Online ISSN: 1793-8309 / 1793-8317 http://www.worldscientific.com/dmaa The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks. The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc. Co-Editors-in-Chief Ding-Zhu Du, University of Texas, Dallas, USA Jinlong Shu, East China Normal University, China
International Journal of Algebra and Computation (IJAC) 40
Print / Online ISSN: 0218-1967 / 1793-6500 http://www.worldscientific.com/ijac This journal publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board. Managing Editor Benjamin Steinberg, City College of New York, USA Founding Editor and Honorary Editor-in-Chief John Rhodes, Univ. of California, Berkeley, USA
Journal of Algebra and Its Applications (JAA) Print / Online ISSN: 0219-4988 / 1793-6829 http://www.worldscientific.com/jaa This journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic subdiscipline will be considered. Executive Editors S K Jain, Ohio University, USA and King Abdulaziz University, Saudi Arabia S R Lรณpez-Permouth, Ohio University, USA
Random Matrices: Theory and Applications (RMTA) Print / Online ISSN: 2010-3263 / 2010-3271 http://www.worldscientific.com/rmta This journal publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications. Editors-in-Chief Zhidong Bai, Northeast Normal University, China Yang Chen, University of Macau, China
JOURNALS WORLD SCIENTIFIC
Applied Mathematics
Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP) Print / Online ISSN: 0219-0257 / 1793-6306 http://www.worldscientific.com/idaqp
Differential & Integral Equations
Mathematical Analysis
Open Systems & Information Dynamics (OSID) Print / Online ISSN: 1230-1612 / 1793-7191 http://www.worldscientific.com/osid
In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.
The aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems.
Managing Editor L Accardi, Università di Roma Tor Vergata, Italy
Editor-in-Chief M Ohya, Tokyo University of Science, Japan
Editor-in-Chief T Hida, Nagoya University and Meijo University, Japan
International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP) Print / Online ISSN: 0219-6913 / 1793-690X http://www.worldscientific.com/ijwmip This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. This journal aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering. Editor-in-Chief Yuan Y Tang, Chengdu University and University of Macau, China Managing Editor Luoqing Li, Hubei University, China
Impact Factor: 3.319 Ranked 6th in Mathematics, Applied Mathematical Models and Methods in Applied Sciences (M3AS) Print / Online ISSN: 0218-2025 / 1793-6314 http://www.worldscientific.com/m3as The purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems. Editors Nicola Bellomo, Politecnico di Torino, Italy Franco Brezzi, IMATI - CNR, Italy
Journal of Hyperbolic Differential Equations (JHDE) Print / Online ISSN: 0219-8916 / 1793-6993 http://www.worldscientific.com/jhde This journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics. Editor-in-Chief Philippe G LeFloch, Université Pierre et Marie Curie (Paris 6), France Co-Editor Jian-Guo Liu, Duke University, USA
Impact Factor: 1.79 Ranked 16th in Mathematics Analysis and Applications (AA) Print / Online ISSN: 0219-5305 / 1793-6861 http://www.worldscientific.com/aa This journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis. Editors-in-Chief Ding-Xuan Zhou, City University of Hong Kong, Hong Kong Honorary Editors-in-Chief Philippe G Ciarlet, City University of Hong Kong, Hong Kong Robert M Miura, New Jersey Institute of Technology, USA Roderick S C Wong, City University of Hong Kong, Hong Kong
41
JOURNALS
Mathematics 2019
General Mathematics
Asian-European Journal of Mathematics (AEJM) Print / Online ISSN: 1793-5571 / 1793-7183 http://www.worldscientific.com/aejm This is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Honorary Chief Editor Wu Wentsun, Chinese Academy of Sciences, China Chief Editor K P Shum, Yunnan University, China Managing Editor Jörg Koppitz, Universität Potsdam, Germany
Impact Factor: 1.138 Ranked within Quartile 1 in Mathematics Bulletin of Mathematical Sciences This peer-reviewed and open access journal will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. It publishes well-written expository articles of exceptional value giving the latest state of the art on a specific topic, and short articles containing significant results of wider interest. It is launched by King Abdulaziz University, Jeddah, Saudi Arabia.
Mathematical Biology
Mathematical Logic & Foundations
Impact Factor : 1.16 Ranked within Quartile 1 in Mathematics Communications in Contemporary Mathematics (CCM) Print / Online ISSN: 0219-1997 / 1793-6683 http://www.worldscientific.com/ccm With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published. Editors-in-Chief Haïm Brezis, Rutgers University, USA Yi-Zhi Huang, Rutgers University, USA
International Journal of Biomathematics (IJB) Print / Online ISSN: 1793-5245 / 1793-7159 http://www.worldscientific.com/ijb The goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics. Editor-in-Chief Lansun Chen, Academy of Mathematics and System Sciences, Academia Sinica, and Xinyang Normal University, China
Executive Editors
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Ahmed Alsaedi, King Abdulaziz University, Saudi Arabia S. K. Jain, King Abdulaziz University, Saudi Arabia and Ohio University, USA Efim Zelmanov, University of California, San Diego, USA
International Journal of Mathematics (IJM) Print / Online ISSN: 0129-167X / 1793-6519 http://www.worldscientific.com/ijm The International Journal of Mathematics publishes original research papers of high quality in all topics of pure mathematics. The journal has been published monthly. The first issue appeared in March 1990. Founding Advisor S S Chern, Chern Institute of Mathematics, Nankai University, China Chair Yasuyuki Kawahigashi, University of Tokyo, Japan
Ranked 1st in Logic Journal of Mathematical Logic (JML) Print / Online ISSN: 0219-0613 / 1793-6691 http://www.worldscientific.com/jml This journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject. Managing Editors Chitat Chong, National University of Singapore Qi Feng, Chinese Academy of Sciences, China Theodore A Slaman, University of California, Berkeley, USA W Hugh Woodin, Harvard University, USA
JOURNALS WORLD SCIENTIFIC
Geometry & Topology
International Journal of Geometric Methods in Modern Physics (IJGMMP) Print / Online ISSN: 0219-8878 / 1793-6977 http://www.worldscientific.com/ijgmmp This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics. Managing Editor Salvatore Capozziello, Università Di Napoli “Federico II”, Italy
First & Only Journal in Knot Theory
Mathematical Physics
Reviews in Mathematical Physics (RMP) Print / Online ISSN: 0129-055X / 1793-6659 http://www.worldscientific.com/rmp This journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Founding Editor Huzihiro Araki, Kyoto University, Japan Editor-in-Chief Volker Bach, TU Braunschweig, Germany Antti Niemi, Uppsala University, Sweden
Journal of Knot Theory and Its Ramifications (JKTR)
Stochastics and Dynamics (SD)
Print / Online ISSN: 0218-2165 / 1793-6527 http://www.worldscientific.com/jktr
Print / Online ISSN: 0219-4937 / 1793-6799 http://www.worldscientific.com/sd
This Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc. Editor-in-Chief L H Kauffman, University of Illinois, Chicago, USA Managing Editors J S Carter, University of South Alabama, USA Sergei Gukov, Calfornia Institute of Technology, USA S Kamada, Osaka City University, Japan S Matveev, Chelyabinsky State University, Russia
Journal of Topology and Analysis (JTA)
This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems. Editor-in-Chief Manfred Denker, Penn State University, USA Managing Editor Jinqiao Duan, Illinois Institute of Technology, USA
Print / Online ISSN: 1793-5253 / 1793-7167 http://www.worldscientific.com/jta
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This journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers. Managing Editors Shmuel Weinberger, University of Chicago, USA Guoliang Yu, Texas A&M University, USA
More details at http://bit.ly/ws-mathjournals
Mathematics 2019 Title Index
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Tick the titles and email to mkt@wspc.com to recommend to your librarian.
Contents Linear Algebra and its Applications..........................................................................................4 Principles and Techniques in Combinatorics............................................................................4 Weight Representations...........................................................................................................4 Gröbner – Shirshov Bases........................................................................................................4 Board Games...........................................................................................................................4 Numerical and Symbolic Computations of Generalized Inverses.............................................4 Galois Theory and Applications...............................................................................................5 Notes on the Binomial Transform.............................................................................................5 Category Theory and Applications...........................................................................................5 Infinite Group Theory..............................................................................................................5 Introduction to Number Theory...............................................................................................5 Number Theory and Its Applications II.....................................................................................5 Numeral Systems with Irrational Bases for Mission-Critical Applications..................................6 A Course on Abstract Algebra (2nd Edition).............................................................................6 Topics and Methods in q-Series...............................................................................................6 Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci.........6 A Graduate Course in Algebra (In 2 Volumes)..........................................................................6 Periods and Special Functions in Transcendence.....................................................................6 Lectures on Lie Groups (2nd Edition).......................................................................................7 Crystal Bases...........................................................................................................................7 A Pioneer in Complexity Science.............................................................................................7 New Horizons for Second-Order Cybernetics..........................................................................7 Information Theory..................................................................................................................7 Nonlinear Waves.....................................................................................................................8 An Operator Theory Problem Book..........................................................................................8 Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions............................8 Beyond the Triangle.................................................................................................................8 Ordinary Differential Equations and Boundary Value Problem.................................................8 Frontiers in Orthogonal Polynomials and q-Series....................................................................9 Selected Papers of Weiyue Ding..............................................................................................9 An Introduction to Second Order Partial Differential Equations................................................9 Matrix Methods and Fractional Calculus..................................................................................9 A First Course in Partial Differential Equations.........................................................................9 The Strong Nonlinear Limit-Point/Limit-Circle Problem............................................................9 Operator Functions and Operator Equations..........................................................................10 Lectures, Problems and Solutions for Ordinary Differential Equations (2nd Edition)...............10 Higher Order Boundary Value Problems on Unbounded Domains........................................10 Local and Global Aspects of Quasilinear Degenerate Elliptic Equations.................................10 Functional Equations and Inequalities....................................................................................10 Differential Forms..................................................................................................................10 Fractalize That.......................................................................................................................11 Conformal Maps and Geometry.............................................................................................11 Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary.......11 High Dimensional Knotting...................................................................................................11 Elegant Fractals......................................................................................................................11 Geometry of Biharmonic Mappings.......................................................................................12 Minimal Submanifolds and Related Topics (2nd Edition)........................................................12 The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles..............................12 The Mereon Matrix................................................................................................................12 Zeta Functions of Reductive Groups and Their Zeros.............................................................12 The Geometry of Spherical Space Form Groups (2nd Edition)................................................12 Combinatorial and Toric Homotopy.......................................................................................13 New Topological Invariants for Real- and Angle-Valued Maps...............................................13 Spectral Geometry of the Laplacian.......................................................................................13 Differential Geometry of Warped Product Manifolds and Submanifolds................................13 Differential Geometry of Curves and Surfaces........................................................................13 Geometry in Advanced Pure Mathematics.............................................................................13 The Fractional Laplacian........................................................................................................14 Metric in Measure Spaces......................................................................................................14 Kurzweil – Stieltjes Integral....................................................................................................14 Integration for Calculus, Analysis, and Differential Equations.................................................14 A Course in Analysis .............................................................................................................14 Lectures on Functional Analysis and Applications (2nd Edition).............................................14 Weighted Inequalities Involving p-quasiconcave Operators...................................................15 Lipschitz Algebras (2nd Edition).............................................................................................15 Abstract Duality Pairs in Analysis...........................................................................................15 Nonabsolute Integration on Measure Spaces.........................................................................15 Harmonic Analysis and Fractal Analysis over Local Fields and Applications..........................15 Weighted Inequalities of Hardy Type (2nd Edition)................................................................15 An Introduction to Analysis...................................................................................................16 A Friendly Approach to Functional Analysis...........................................................................16 Concise Calculus...................................................................................................................16 Singular Bilinear Integrals .....................................................................................................16 Problems and Solutions in Real Analysis................................................................................16 Stochastic Models in the Life Sciences and Their Methods of Analysis...................................17 Dynamical System Models in the Life Sciences and Their Underlying Scientific Issues...........17 Applications of Calculus to Biology and Medicine.................................................................17 Fundamentals of Network Biology.........................................................................................17 A Mathematical Modeling Approach to Infectious Diseases...................................................17 Computational Chemotaxis Models for Neurodegenerative Disease......................................17 Complexity Science...............................................................................................................18 Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition)....................................18 Advanced Mathematical and Computational Tools in Metrology and Testing XI.....................18 Mathematical Music Theory...................................................................................................18 Crowds in Equations..............................................................................................................18 Chemotaxis, Reaction, Network............................................................................................18 Grammar of Complexity........................................................................................................19 Fractional Kinetics in Space...................................................................................................19 Mathematics of Planet Earth..................................................................................................19 Method of Lines Analysis of Turing Models............................................................................19 The Limits of Mathematical Modeling in the Social Sciences.................................................19 Mathematical Methods for the Natural and Engineering Sciences (2nd Edition).....................19 Risk and Stochastics..............................................................................................................20 Probability and Statistics for Economists................................................................................20 Deterministic and Stochastic Topics in Computational Finance..............................................20 Theoretical Foundations for Quantitative Finance..................................................................20
Time Series Econometrics......................................................................................................20 Heavy Tails and Copulas........................................................................................................20 Computability, Forcing and Descriptive Set Theory................................................................21 How to Measure the Infinite..................................................................................................21 Eliminating the Universe........................................................................................................21 Proof and Computation.........................................................................................................21 Mathematics Almost Everywhere...........................................................................................21 The Digital and the Real World..............................................................................................21 Logic in Wonderland.............................................................................................................22 Sets and Computations..........................................................................................................22 Quantum Field Theory, Quantum Physics and Micro-Macro Duality......................................22 Selecta III...............................................................................................................................22 Quantized Number Theory, Fractal Strings and the Riemann Hypothesis...............................22 Quantum Systems and Finite Approximations........................................................................23 Elementary Mechanics (In 2 Volumes)....................................................................................23 The Linearised Dam-Break Problem......................................................................................23 Maxwell Equation..................................................................................................................23 A Guide to Mathematical Methods for Physicists...................................................................23 Fractional Quantum Mechanics.............................................................................................23 Ludwig Faddeev Memorial Volume........................................................................................24 Langevin and Fokker – Planck Equations and their Generalizations.......................................24 Quantum Techniques in Stochastic Mechanics......................................................................24 Noncommutative Cosmology................................................................................................24 Resonance and Bifurcation to Chaos in Pendulum.................................................................24 Analysis on Fock Spaces and Mathematical Theory of Quantum Fields..................................24 A Mathematics Primer for Physics Students............................................................................25 Fractional Calculus................................................................................................................25 Theory of Groups and Symmetries.........................................................................................25 Mathematics for Physics........................................................................................................25 A Half-Century of Physical Asymptotics and Other Diversions...............................................25 A Guide to Mathematical Methods for Physicists...................................................................25 Scattering by Obstacles and Potentials...................................................................................26 Emergence of the Quantum from the Classical......................................................................26 Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications ...................................................................................................26 The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields.........26 Strong Uniformity and Large Dynamical Systems...................................................................26 The Wigner Transform............................................................................................................26 Lecture Notes in Topics in Path Integrals and String Representations......................................27 Analysis and Mathematical Physics.......................................................................................27 The Principles of Newtonian and Quantum Mechanics (2nd Edition)....................................27 School Mathematics Textbooks in China................................................................................27 Integrating Computers and Problem Posing in Mathematics Teacher Education......................27 The Mathematics Coach Handbook.......................................................................................27 Theoretical and Practical Pedagogy of Mathematical Music Theory.......................................28 Mathematics Instruction: Goals, Tasks and Activities..............................................................28 Empowering Mathematics Learners.......................................................................................28 Mathematics and its Teaching in the Muslim States................................................................28 Mathematics and its Teaching in the Asia-Pacific Region........................................................28 K-12 Mathematics Education in Israel....................................................................................28 A Problem Solving Approach to Supporting Mathematics Instruction in Elementary School...29 Tools to Help Your Children Learn Math................................................................................29 Teaching Children to Love Problem Solving...........................................................................29 Elementary School Mathematics for Parents and Teachers......................................................29 Diversifying Mathematics Teaching........................................................................................29 High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion............................................................................................30 Explorations in Numerical Analysis........................................................................................30 Elements of Numerical Analysis with Mathematica................................................................30 A New Method of Constructing Brakke’s Motion...................................................................30 Optimization in an ACORN...................................................................................................30 Optimization Theory .............................................................................................................30 Robust Mixed Model Analysis ..............................................................................................31 Introduction to Stochastic Processes......................................................................................31 Multifractional Stochastic Fields............................................................................................31 Probability Models and Applications (Revised 2nd Edition)...................................................31 Random Processes.................................................................................................................31 Estimations and Tests in Change-Point Models.......................................................................31 Statistical Data Science .........................................................................................................32 Nonconventional Limit Theorems and Random Dynamics.....................................................32 Nonparametric Statistics .......................................................................................................32 Probability and Random Number..........................................................................................32 White Noise Analysis and Quantum Information...................................................................32 Statistics and Experimental Design for Psychologists..............................................................32 Risk Theory............................................................................................................................33 Simulating Copulas (2nd Edition)...........................................................................................33 Expect the Unexpected (2nd Edition).....................................................................................33 Inference, Asymptotics, and Applications..............................................................................33 Let Us Use White Noise........................................................................................................33 Statistical Data Fusion...........................................................................................................33 The Soma Puzzle Book..........................................................................................................34 Venusian Casino Junkets........................................................................................................34 Navigating across Mathematical Cultures and Times..............................................................34 In the Search for Beauty.........................................................................................................34 The Tangram Puzzle Book......................................................................................................34 The Paper Puzzle Book..................................................................................................... ....34 A Lady Mathematician in this Strange Universe: Memoirs................................................. ....35 Ernest Irving Freese’s Geometric Transformations.............................................................. ....35 The Story of Numbers....................................................................................................... ....35 KenKen: Math & Logic Puzzles That Will Make You Smarter!............................................ ....35 Mathematical Olympical in China.................................................................................... ....36 A Central European Olympiad.......................................................................................... ....36 Solving Problems in Geometry......................................................................................... ....36 Algebraic Inequalities....................................................................................................... ....36 Trigonometric Functions and Complex Numbers.............................................................. ....36
WORLD SCIENTIFIC
Author Index Abramovich Sergei..............................27, 29 Accardi Luigi.............................................32 Adams Niall M...........................................32 Allen Rory..................................................32 Arai Asao...................................................24 Ayache Antoine..........................................31 Ayad Mohamed............................................5 Baez John C...............................................24 Baginski Paul...............................................5 Bakken Erik Makino..................................23 Balan Raluca..............................................33 Barrieu Pauline...........................................20 Bartusek Miroslav........................................9 Beck Jozsef................................................26 Beliaev Dmitry........................................... 11 Bellow Alexandra.......................................21 Benci Vieri.................................................21 Ben-Naim Arieh...........................................7 Berman Gennady P....................................20 Berry Michael Victor.................................25 Biamonte Jacob D......................................24 Blechman Andrew E..................................25 Bokut Leonid...............................................4 Botelho Luiz C L........................................27 Boyadzhiev Khristo N..................................5 Broecker Jochen.........................................19 Buchanan J Robert.......................................9 Bullett Shaun........................................13, 27 Bump Daniel................................................7 Burghelea Dan...........................................13 Calderhead Ben..........................................19 Calin Ovidiu...............................................20 Calude Cristian S.......................................21 Carrasco Hugo Alexandre Sacristao..........10 Cenzer Douglas..........................................21 Chang Shou-Te.............................................6 Chen Bang-Yen..........................................13 Chen Ji.......................................................36 Chen Louis Hsiao Yun...............................32 Chen Mu-Fa...............................................31 Chen Wenxiong..........................................14 Chen Yuqun..................................................4 Cheraghi Davoud.......................................19 Choquet-Bruhat Yvonne.............................35 Chua Boon Liang.......................................28 Chunovkina Anna G...................................18 Cioranescu Doina.........................................9 Cohen Ed....................................................32 Cotter Colin................................................19 Crisan Dan.................................................19 Darby Alastair............................................13 De Gosson Maurice A..........................26, 27 Deng Weihua..............................................30 Deng Yuefan...............................................10 Dennis Lynnclaire......................................12 Derman Cyrus............................................31 Deshpande Jayant V...................................32 Dewan Isha.................................................32 Di Nasso Mauro.........................................21 Digernes Trond..........................................23 Donato Patrizia9 Doria Francisco Antonio............................19 Eichstadt Sascha.........................................18 Eie Minking.................................................6 El Tom Mohamed E A................................28 Elran Yossi.................................................34 Evans Kristian P.........................................14 Evans William Desmond............................15 Farmakis Ioannis..........................................6 Faure Sylvain.............................................18 Fearn Tom............................................13, 27 Fine Benjamin..............................................5 Foo Kean Pew..............................................4 Forbes Alistair B........................................18 Frederickson Greg N..................................35 Friedman Sy-David....................................22 Fuhrer Robert.............................................35 Gaglione Anthony........................................5 Gao Helena Hong.........................................7 Garibi Ilan..................................................34 Ge Mo-Lin.................................................24 Geretschlager Robert.................................36 Germain-Williams Terri.............................29 Gil' Michael................................................10 Gilkey Peter B............................................12 Gleser Leon J.............................................31 Gogatishvili Amiran...................................15 Golden Leslie M........................................34 Gomez Francisco.......................................28 Gong Sheng................................................16 Gong Youhong...........................................16 Goodman David Hillel...............................34 Graef John R............................................8, 9 Grandis Marco.............................................5
Grantcharov Dimitar....................................4 Grbic Jelena...............................................13 Guillemin Victor........................................ 11 Hafouta Yeor..............................................32 Hahn Marjorie..............................................8 Haine Peter................................................. 11 Hang Kim Hoo...........................................36 Hata Masayoshi..........................................16 Haubold Hans J............................................9 Henderson Johnny L....................................8 Herichi Hafedh...........................................22 Herrmann Richard......................................25 Hida Takeyuki......................................32, 33 Hill Richard Michael....................................5 Holm Darryl D...........................................19 Hong Yongmiao.........................................20 Horihata Kazuhiro......................................30 Hsiang Wu-Yi...............................................7 Ibragimov Rustam......................................20 Isaev Alexey P............................................25 Isozaki Hiroshi...........................................23 Jacob Niels.................................................14 Jefferies Brian Raymond Frederick...........16 Ji Chaocheng..............................................36 Jiang Jiming...............................................31 Kalinowski Jozef........................................36 Kalorkoti Kyriakos.......................................4 Kanemitsu Shigeru.......................................5 Katz Gabriel............................................... 11 Kauffman Louis H.....................................12 Kaur Berinderjeet.......................................28 Kedem Benjamin.......................................33 Keenan Edward L.......................................21 Kifer Yuri...................................................32 Kobayashi Kei..............................................8 Kong Lingju.................................................8 Konstantinides Dimitrios George..............33 Krulik Stephen...........................................27 Kufner Alois...............................................15 Kumar B V Senthil.....................................10 Kuna Tobias...............................................19 Kupferman Raz..........................................29 Kwok Sau Fa..............................................24 Kyppo Jorma................................................4 Lambers James V.......................................30 Lamothe Gilles...........................................33 Lan Kai-Wen................................................6 Lapidus Michel L.......................................22 Laskin Nick................................................23 Leach John Andrew....................................23 Lee Martin J...............................................30 Lee Ngan Hoe............................................28 Lee Peng Yee..............................................36 Lefloch Philippe G.....................................26 Levine Gavrielle.........................................29 Li Fuhuo.......................................................5 Li Hailong....................................................5 Li Xin...........................................................9 Li Yan.........................................................14 Lin Simon Mingyan.....................................4 Liu Dun......................................................34 Liu Sherry Xueyan.......................................8 Loustau John..............................................30 Lu Zhi.........................................................13 Luo Albert C J............................................24 Ma Pei........................................................14 Ma Yue.......................................................26 Mack John M.............................................28 Mai Jan-Frederik........................................33 Mainardi Francesco....................................18 Mainzer Klaus............................................21 Mallik Asok Kumar...................................35 Mao Yong-Hua...........................................31 Marcolli Matilde........................................24 Markin Marat V.........................................14 Marsh Adam...............................................25 Martinussen Torben....................................33 Masoliver Jaume........................................31 Mathai Arak M.............................................9 Maury Bertrand..........................................18 Mc Laughlin James......................................6 Mcgovern S................................................23 Mcnair Jytte Brender..................................12 Mickens Ronald E......................................19 Mikusinski Jan...........................................16 Mikusinski Piotr.........................................16 Minhos Feliz Manuel.................................10 Moh Tzuong-Tsieng.....................................4 Monteiro Giselle Antunes..........................14 Montiel Mariana...................................18, 28 Mortad Mohammed Hichem........................8 Moskowitz Martin........................................6 Movshovitz-Hadar Nitsa......................22, 28 Muller Karl H...............................................7
Naik-Nimbalkar Uttara..............................32 Nashed M Zuhair.........................................9 Needham David J.......................................23 Ng Wee Leng.............................................15 Niemi Antti................................................24 Ohya Masanori...........................................32 Ojima Izumi...............................................22 Okamura Kazuya.......................................22 Oliveira Victor De......................................33 Olkin Ingram..............................................31 Opic Bohumir.............................................15 Papastavridis John G..................................23 Peck Robert W...........................................18 Peletier Mark A..........................................18 Pelloni Beatrice..........................................19 Perron Pierre..............................................20 Persson Lars-Erik.......................................15 Petkovic Marko............................................4 Petrini Michela.....................................23, 25 Phua Kok Khoo..........................................24 Piontkovski Dmitri.......................................4 Pons Odile..................................................31 Popivanov Petar Radoev..............................8 Porter Christopher......................................21 Posamentier Alfred S...........................27, 29 Pradisi Gianfranco...............................23, 25 Prokhorov Artem........................................20 Pugachev V S.............................................14 Raghavan Dilip..........................................22 Ramm Alexander G....................................26 Rassias John Michael.................................10 Ravi K........................................................10 Reid Nancy Margaret.................................33 Riegler Alexander........................................7 Roque Marian P...........................................9 Roseman Dennis........................................ 11 Rothman Sheldon N...................................29 Rubakov Valery A......................................25 Ryan Nathan...............................................17 Saigo Hayato..............................................22 Samko Natasha...........................................15 Sasane Amol..............................................16 Sauro Danielle............................................29 Scherer Matthias........................................33 Schiesser William E.............................17, 19 Schilling Anne..............................................7 Schuster Peter Michael..............................21 Schwichtenberg Helmut.............................21 Serganova Vera............................................4 Shao Zhoude................................................9 Shepherd Ted..............................................19 Shier John.................................................. 11 Shriki Atara................................................22 Si Si............................................................32 Sibatov Renat T..........................................19 Sinai Yakov................................................22 Sinitsyn Igor...............................................14 Sirakov Boyan............................................38 Slavik Antonin...........................................14 Slavova Angela............................................8 Smilga Voldemar........................................34 Smith Frank..........................................13, 27 Souza Paulo Ney De..................................38 Spadafora Luca..........................................20 Sprott Julien Clinton.................................. 11 Stakhov Alexey............................................6 Stanimirovic Predrag...................................4 Steeb Willi-Hans........................................26 Steur Erik...................................................18 Streit Ludwig.............................................33 Su Weiyi.....................................................15 Sugita Hiroshi............................................32 Sumner Amber C.......................................30 Suzuki Takashi...........................................18 Sverchkov Michael....................................33 Svrcek Jaroslav..........................................36 Swartz Charles W.......................................15 Takhtajan Leon A.......................................24 Thandapani E.............................................10 Toh Pee Choon...........................................28 Tretkoff Paula B...........................................6 Tsang Ken Kang Too..................................30 Tvrdy Milan...............................................14 Uchaikin Vladimir V..................................19 Umarov Sabir...............................................8 Umehara Masaaki......................................13 Umpleby Stuart A.........................................7 Urakawa Hajime..................................12, 13 Van Santen Rutger A..................................18 Vandoulakis Ioannis M..............................34 Vasbinder Jan Wouter...................................7 Veron Laurent.............................................10 Viana Marcelo............................................38 Vogeli Bruce R...........................................28
Volchenkov Dimitri....................................19 Wallace Dorothy I......................................17 Wan Frederic Y M......................................17 Wang Haibin..............................................36 Wang Jianpan.............................................27 Wang Nianliang...........................................5 Wang Youde.................................................9 Watanabe Noboru.......................................32 Weaver Nik................................................15 Wei Yimin....................................................4 Weller Hilary..............................................19 Weng Lin....................................................12 Wentworth Richard....................................12 Wilkin Graeme...........................................12 Wu Jie........................................................13 Xin Yuanlong.............................................12 Xiong Bin...................................................36 Yamada Kotaro..........................................13 Yang Desheng............................................36 Yang Lei.......................................................8 Yang Yue....................................................22 Yeh James J................................................14 Yong Jiongmin...........................................30 Zaffaroni Alberto.................................23, 25 Zamfirescu Tudor.......................................21 Zapletal Jindrich.........................................21 Zhang Nien Fan..........................................18 Zhang Wenjun............................................17 Zhang Zhijiang...........................................30
45
Mathematics 2019
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The Grant Writing and Crowdfunding Guide for Young Investigators in Science By Jean-Luc Lebrun (Scientific Reach, USA), Justin Lebrun (Scientific Reach, USA)
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